https://research.tue.nl/en/studentTheses/concrete-quantum-cryptanalysis-of-binary-elliptic-curves/
Concrete quantum-cryptanalysis of binary elliptic curves - Research portal Eindhoven University of...
elliptic curvesresearch portalconcretequantumcryptanalysis
https://mathoverflow.net/questions/tagged/elliptic-curves
Newest 'elliptic-curves' Questions - MathOverflow
elliptic curvesnewestquestionsmathoverflow
https://math-events.uni-bonn.de/event/583/
Explicit surjectivity for Galois representations of products of elliptic curves over function...
Number theory lunch seminar It is natural to study the torsion of an elliptic curve via its Galois representations, which encode the action of Galois on...
elliptic curvesexplicitgaloisrepresentations
https://alvarogohe.github.io/projects/elliptic_curves_over_dvrs/
Elliptic curves over discrete valuation rings | Alvaro Gonzalez Hernandez
Study group on Mazur's torsion theorem
elliptic curvesdiscretevaluationringsalvaro
https://courses.maths.ox.ac.uk/course/view.php?id=5070
Course: C3.7 Elliptic Curves (2023-24) | Mathematical Institute
elliptic curvescoursemathematicalinstitute
https://collaborate.princeton.edu/en/publications/databases-of-elliptic-curves-ordered-by-height-and-distributions-/fingerprints/
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks -...
elliptic curvesby height
https://arxiv.org/abs/2212.11354
[2212.11354] Counting elliptic curves over the rationals with a 7-isogeny
Abstract page for arXiv paper 2212.11354: Counting elliptic curves over the rationals with a 7-isogeny
elliptic curves
https://github.com/rustcrypto/elliptic-curves
GitHub - RustCrypto/elliptic-curves: Collection of pure Rust elliptic curve implementations: NIST...
Collection of pure Rust elliptic curve implementations: NIST P-224, P-256, P-384, P-521, secp256k1, SM2 - RustCrypto/elliptic-curves
elliptic curvesgithubcollection
https://csrc.nist.gov/pubs/journal/2017/06/geometric-progressions-on-elliptic-curves/final
Geometric Progressions on Elliptic Curves | CSRC
elliptic curvesgeometricprogressionscsrc
https://csrc.nist.gov/pubs/journal/2012/01/families-of-elliptic-curves-with-rational-3torsion/final
Families of Elliptic Curves with Rational 3-torsion | CSRC
elliptic curvesfamiliesrationaltorsioncsrc
https://lists.gnupg.org/pipermail/gnupg-users/2012-December/045820.html
Elliptic curves in gnupg status?(ECC support)
elliptic curvesgnupgstatuseccsupport
https://fse.studenttheses.ub.rug.nl/10478/
Edwards Elliptic Curves - Student Theses Faculty of Science and Engineering
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https://www.kth.se/math/kalender/hemming-ma-moduli-of-elliptic-curves-with-isogenies-1.1343391?date=2024-06-19&orgdate=2024-02-13&length=1&orglength=0
Hemming Ma: Moduli of elliptic curves with isogenies | KTH
elliptic curveshemmingmodulikth
https://crypto.stanford.edu/pbc/notes/elliptic/weil.html
Elliptic Curves - The Weil Pairing
elliptic curvesweilpairing
https://lists.gnupg.org/pipermail/gnupg-users/2012-December/045826.html
Elliptic curves in gnupg status?(ECC support)
elliptic curvesgnupgstatuseccsupport
https://collaborate.princeton.edu/en/projects/l-values-galois-representations-and-elliptic-curves/
L-values, Galois Representations, and Elliptic Curves - Princeton University
elliptic curvesvaluesgaloisrepresentationsprinceton
https://pure.psu.edu/en/publications/elliptic-curves-and-modular-forms-converge-south-of-the-taklamaka/
Elliptic Curves and Modular Forms Converge South of the Taklamakan - Penn State
elliptic curves
https://pure.psu.edu/en/publications/pesenti-szpiro-inequality-for-optimal-elliptic-curves/
Pesenti-Szpiro inequality for optimal elliptic curves - Penn State
elliptic curvesinequalityoptimalpennstate
https://datatracker.ietf.org/doc/rfc7748/
RFC 7748 - Elliptic Curves for Security
This memo specifies two elliptic curves over prime fields that offer a high level of practical security in cryptographic applications, including Transport...
elliptic curvesrfcsecurity
https://www.jstage.jst.go.jp/article/transfun/E93.A/6/E93.A_6_1032/_article/-char/en
Pairing-Friendly Elliptic Curves with Various Discriminants
Access full-text academic articles: J-STAGE is an online platform for Japanese academic journals.
elliptic curvespairingfriendlyvarious
https://theses.gla.ac.uk/83437/
Elliptic curves over Galois number fields - Enlighten Theses
elliptic curvesgaloisnumberfieldsenlighten
https://annals.math.princeton.edu/articles/keyword/elliptic-curves
elliptic curves | Article Keywords | Annals of Mathematics
elliptic curvesarticlekeywordsannalsmathematics
https://uwspace.uwaterloo.ca/items/0b1b867e-51ef-41ce-90a2-2faef7bc854c
New applications of elliptic curves and function fields in cryptography
Public key cryptography based on elliptic curves over finite fields was proposed by Miller and Koblitz in 1985. Elliptic curves over finite fields have been...
new applicationselliptic curvesfunctionfieldscryptography
https://courses.maths.ox.ac.uk/course/view.php?id=5607
Course: C3.7 Elliptic Curves (2024-25) | Mathematical Institute
elliptic curvescoursemathematicalinstitute
https://ocw.mit.edu/courses/18-783-elliptic-curves-fall-2025/download/
Resources | Elliptic Curves | Mathematics | MIT OpenCourseWare
MIT OpenCourseWare is a web based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity
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https://www.umass.edu/mathematics-statistics/events/elliptic-curves-l-functions-and-conjecture-mazur-and-tate
Elliptic curves, L-functions and a conjecture of Mazur and Tate : Department of Mathematics and...
In this talk we introduce elliptic curves and L-functions, discuss the history and known results on Birch-Swinnertyon-Dyer, and then turn to recent work (joint...
elliptic curvesand a
https://open.clemson.edu/all_dissertations/889/
"Modular Forms, Elliptic Curves and Drinfeld Modules" by Catherine Trentacoste
In this thesis we explore three different subfields in the area of number theory. The first topic we investigate involves modular forms, specifically nearly...
elliptic curvesby catherinemodularformsmodules
https://dsmfreeman.github.io/cs259c-f11/index.html
CS 259C/Math 250: Elliptic Curves in Cryptography
elliptic curvescsmathcryptography
https://math.sci.ccny.cuny.edu/seminar/mathematics-colloquium/talk/35/
Potential modularity for elliptic curves and applications - Dept of Math, CCNY
CCNY Department of Mathematics
elliptic curvespotentialmodularity
https://web.ma.utexas.edu/users/voloch/LST/page8hr.html
Elliptic curves and formal groups, page 8
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https://ocw.mit.edu/courses/18-704-seminar-in-algebra-and-number-theory-rational-points-on-elliptic-curves-fall-2004/resources/lecture24/
lecture24.pdf | Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves |...
Handwritten lecture notes.
algebra and number theory
https://ocw.mit.edu/courses/18-704-seminar-in-algebra-and-number-theory-rational-points-on-elliptic-curves-fall-2004/resources/lecture18/
lecture18.pdf | Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves |...
Handwritten lecture notes.
algebra and number theory
https://blog.cloudflare.com/tag/elliptic-curves/
Elliptic Curves
Get the latest news on how products at Cloudflare are built, technologies used, and open positions to join the teams helping to build a better Internet.
ellipticcurves
https://open.library.ubc.ca/cIRcle/collections/48630/items/1.0360788
Torsion points on elliptic curves over quintic and sextic number fields - UBC Library Open...
Learning, knowledge, research, insight: welcome to the world of UBC Library, the second-largest academic research library in Canada.
https://github.com/JohnCremona/eclib
GitHub - JohnCremona/eclib: The eclib package includes mwrank (for 2-descent on elliptic curves...
The eclib package includes mwrank (for 2-descent on elliptic curves over Q) and modular symbol code used to create the elliptic curve database. -...
https://ocw.mit.edu/courses/18-704-seminar-in-algebra-and-number-theory-rational-points-on-elliptic-curves-fall-2004/resources/lecture30-1/
lecture30.pdf | Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves |...
MIT OpenCourseWare is a web based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity
algebra and number theory
https://repository.gatech.edu/entities/publication/b94c92b4-3f66-456b-9e5e-29f2efde3255
Iterations of elliptic curves
iterationsellipticcurves
https://datatracker.ietf.org/doc/html/rfc9380?ref=blog.lambdaclass.com
RFC 9380 - Hashing to Elliptic Curves
Hashing to Elliptic Curves (RFC 9380, )
rfchashingellipticcurves
https://arxiv.org/abs/2604.08776
[2604.08776] Dedekind zeta functions of non-Galois torsion fields of elliptic curves
Abstract page for arXiv paper 2604.08776: Dedekind zeta functions of non-Galois torsion fields of elliptic curves
https://research.monash.edu/en/publications/realizing-the-menezes-okamoto-vanstone-mov-reduction-efficiently-/
Realizing the Menezes-Okamoto-Vanstone (MOV) Reduction Efficiently for Ordinary Elliptic Curves -...
https://math-events.uni-bonn.de/event/200/?view=event
Conjectural asymptotics of prime orders of points on elliptic curves over number fields (January...
Number theory lunch seminar Define, for a positive integer $d$, $S(d)$ to be the set of all primes $p$ that occur as the order of a point $P \in E(K)$ on an...
https://ports.ubuntu.com/pool/universe/s/sagemath-database-cremona-elliptic-curves/?C=N;O=D
Index of /pool/universe/s/sagemath-database-cremona-elliptic-curves
index ofpooluniversesagemathdatabase
https://arxiv.org/abs/1002.2597
[1002.2597] Fast algorithms for computing isogenies between ordinary elliptic curves in small...
Abstract page for arXiv paper 1002.2597: Fast algorithms for computing isogenies between ordinary elliptic curves in small characteristic
https://ocw.mit.edu/courses/18-704-seminar-in-algebra-and-number-theory-rational-points-on-elliptic-curves-fall-2004/resources/lecture33/
lecture33.pdf | Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves |...
Handwritten lecture notes.
algebra and number theory
https://arxiv.org/abs/1708.03953
[1708.03953] A family of monogenic $S_4$ quartic fields arising from elliptic curves
Abstract page for arXiv paper 1708.03953: A family of monogenic $S_4$ quartic fields arising from elliptic curves
https://experts.arizona.edu/en/publications/a-construction-of-local-points-on-elliptic-curves-over-modular-cu/
A construction of local points on elliptic curves over modular curves - University of Arizona
https://datatracker.ietf.org/doc/draft-harkins-brainpool-ike-groups/04/
draft-harkins-brainpool-ike-groups-04 - Brainpool Elliptic Curves for the Internet Key Exchange...
This memo allocates code points for four new elliptic curve domain parameter sets over finite prime fields into a registry that was established by the Internet...
https://archive.mpim-bonn.mpg.de/id/eprint/5136/
The Selmer group and rank of a family of elliptic curves and curves of genus one violating the...
https://lists.fedoraproject.org/archives/list/legal@lists.fedoraproject.org/thread/Y3EUALT2MRQ3IMF4URAUQUO4OSHWEAW5/
about openssl we may enable and build all elliptic curves on corp ? - legal - Fedora mailing-lists
https://ocw.mit.edu/courses/18-704-seminar-in-algebra-and-number-theory-rational-points-on-elliptic-curves-fall-2004/pages/calendar/
Calendar | Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves | Mathematics |...
MIT OpenCourseWare is a web based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity
algebra and number theory
https://mailarchive.ietf.org/arch/msg/cfrg/UupiOH6GbJuOR5pmqYTvIeU-zUU/
Re: [Cfrg] Hardware requirements for elliptic curves
Search IETF mail list archives
hardware requirementscfrgellipticcurves
https://researchportalplus.anu.edu.au/en/publications/the-tolerant-qualocation-method-for-variable-coefficient-elliptic/
The tolerant qualocation method for variable-coefficient elliptic equations on curves - The...
tolerantmethod
https://mailarchive.ietf.org/arch/msg/cfrg/NglUomgv-H_pcrAKkUK-w7BuqU0/
Re: [Cfrg] Hardware requirements for elliptic curves
Search IETF mail list archives
hardware requirementscfrgellipticcurves
https://arxiv.org/html/2604.08776v1
Dedekind zeta functions of non-Galois torsion fields of elliptic curves
dedekindzetafunctionsnongalois
https://arxiv.org/abs/1005.3623
[1005.3623] Addition law structure of elliptic curves
Abstract page for arXiv paper 1005.3623: Addition law structure of elliptic curves
additionlawstructureellipticcurves
https://ocw.mit.edu/courses/18-704-seminar-in-algebra-and-number-theory-rational-points-on-elliptic-curves-fall-2004/resources/lecture6/
lecture6.pdf | Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves |...
Handwritten lecture notes.
algebra and number theory
https://arxiv.org/abs/2402.02024
[2402.02024] An analogue of Kida's formula for elliptic curves with additive reduction
Abstract page for arXiv paper 2402.02024: An analogue of Kida's formula for elliptic curves with additive reduction
https://www.kth.se/math/kalender/david-corwin-beyond-quadratic-chabauty-explicit-motivic-non-abelian-chabauty-for-elliptic-curves-1.1022516?date=2020-10-28&orgdate=2020-03-08&length=1&orglength=0
David Corwin: Beyond Quadratic Chabauty: Explicit Motivic Non-Abelian Chabauty for Elliptic Curves...
https://math.nyu.edu/dynamic/calendars/seminars/algebraic-geometry-seminar/852/
The Brauer Group of the Moduli Stack of Elliptic Curves | Department of Mathematics | NYU Courant
group of
https://arxiv.org/abs/1909.05376v1
[1909.05376v1] Explicit Kummer Theory for Elliptic Curves
Abstract page for arXiv paper 1909.05376v1: Explicit Kummer Theory for Elliptic Curves
explicitkummertheoryellipticcurves
https://www.ietf.org/rfc/rfc9380.html
RFC 9380: Hashing to Elliptic Curves
This document specifies a number of algorithms for encoding or hashing an arbitrary string to a point on an elliptic curve. This document is a product of the...
rfchashingellipticcurves
https://scholars.duke.edu/publication/797313
Scholars@Duke publication: Cycles, L-functions and triple products of elliptic curves
https://uwaterloo.ca/institute-for-quantum-computing/events/dr-rainer-steinwandt-quantum-circuits-point-addition-binary
Dr. Rainer Steinwandt: Quantum circuits for point addition on binary elliptic curves | Institute...
Dr. Rainer Steinwandt, Florida Atlantic University Abstract
https://arxiv.org/abs/2506.07089
[2506.07089] Boundedness of average rank of elliptic curves ordered by the coefficients
Abstract page for arXiv paper 2506.07089: Boundedness of average rank of elliptic curves ordered by the coefficients
https://archive.mpim-bonn.mpg.de/id/eprint/3878/
L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces - MPIM Archive
https://mailarchive.ietf.org/arch/msg/cfrg/bGQDjzmUKK6sGLaWtMiFjs-Q1X8/
Re: [Cfrg] Hardware requirements for elliptic curves
Search IETF mail list archives
hardware requirementscfrgellipticcurves
https://arxiv.org/abs/math/0010272
[math/0010272] Elliptic functions and equations of modular curves
Abstract page for arXiv paper math/0010272: Elliptic functions and equations of modular curves
mathellipticfunctionsequationsmodular
https://arxiv.org/abs/1105.6331
[1105.6331] Improved Algorithm for the Isogeny Problem for Ordinary Elliptic Curves
Abstract page for arXiv paper 1105.6331: Improved Algorithm for the Isogeny Problem for Ordinary Elliptic Curves
for theimprovedalgorithm
https://datatracker.ietf.org/doc/html/rfc5639.html
RFC 5639 - Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation
Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation (RFC 5639, )
elliptic curve cryptographyrfc
https://ellipter.com/
Ellipter - .NET C# Licensing Library and Product Keys based on Elliptic Curves Asymmetric...
Protect .NET, Mono, and Linux apps using Ellipter's secure licensing powered by elliptic curves.