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1. Counting points on elliptic curves: An important aspect in the study of elliptic curves is devising effective ways of counting points on the curve. There have been several approaches to do so, and the algorithms devised have proved to be useful tools in the study ... [100%] 2023-10-13 [Elliptic curves]
2. Moduli stack of elliptic curves: In mathematics, the moduli stack of elliptic curves, denoted as \displaystyle{ \mathcal{M}_{1,1} }[/math] or \displaystyle{ \mathcal{M}_{\textrm{ell}} }[/math], is an algebraic stack over \displaystyle{ \text{Spec}(\mathbb{Z}) }[/math] classifying elliptic curves. Note ... [100%] 2024-09-01 [Algebraic geometry]
3. Hasse s theorem on elliptic curves: Hasse's theorem on elliptic curves, also referred to as the Hasse bound, provides an estimate of the number of points on an elliptic curve over a finite field, bounding the value both above and below. If N is the ... (Estimates the number of points on an elliptic curve over a finite field) [91%] 2024-09-01 [Elliptic curves] [Finite fields]...

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1. Elliptic curve: In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over a field K and describes points in K, the Cartesian product of ... (Algebraic curve) [100%] 2024-01-05 [Elliptic curves] [Analytic number theory]...
2. Elliptic curve: An elliptic curve over a field K {\displaystyle K} is a one dimensional Abelian variety over K {\displaystyle K} . Alternatively it is a smooth algebraic curve of genus one together with marked point. [100%] 2023-06-12
3. Elliptic curve: An elliptic curve is a non-singular complete algebraic curve of genus 1. The theory of elliptic curves is the source of a large part of contemporary algebraic geometry. (Mathematics) [100%] 2023-09-23
4. Modular elliptic curve: A modular elliptic curve is an elliptic curve E that admits a parametrisation X0(N) → E by a modular curve. This is not the same as a modular curve that happens to be an elliptic curve, something that could be ... [81%] 2022-12-29 [Elliptic curves]
5. Elliptic-curve cryptography: Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security. (Approach to public-key cryptography) [81%] 2024-01-03 [Elliptic curve cryptography] [Public-key cryptography]...
6. Hyper-elliptic curve: A non-singular projective model of the affine curve $y^2=f(x)$, where $f(x)$ is a polynomial without multiple roots of odd degree $n$ (the case of even degree $2k$ may be reduced to that of odd degree ... (Mathematics) [81%] 2023-09-11
7. Elliptic-curve cryptography: Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security. [81%] 2024-01-04 [Elliptic curve cryptography] [Public-key cryptography]...
8. Elliptic Curve Cryptography: Unter deutsch Elliptische-Kurven-Kryptografie oder Elliptic Curve Cryptography (ECC) versteht man asymmetrische Kryptosysteme, die Operationen auf elliptischen Kurven über endlichen Körpern verwenden. Diese Verfahren sind nur sicher, wenn diskrete Logarithmen in der Gruppe der Punkte der elliptischen Kurve nicht ... [81%] 2024-08-10
9. Elliptics: Elliptics is a distributed key–value data storage with open source code. By default it is a classic distributed hash table (DHT) with multiple replicas put in different groups (distributed hashes). [72%] 2024-01-07 [Key-value databases] [Software using the LGPL license]...
10. Ecliptic: The ecliptic is the apparent path that the Sun traces out in the sky during the year. As it appears to move in the sky in relation to the stars, the apparent path aligns with the planets throughout the course ... [72%] 2023-02-04
11. Ecliptic: The plane of the ecliptic is that plane in or near which the centre of gravity of the earth and moon revolves round the sun. The ecliptic itself is the great circle in which this plane meets the celestial sphere ... [72%] 2022-09-02
12. Ecliptic: For related Wikipedia articles, see. [72%] 2023-03-18 [Astronomy]
13. Elliptics: Elliptics is a distributed key–value data storage with open source code. By default it is a classic distributed hash table (DHT) with multiple replicas put in different groups (distributed hashes). (Software) [72%] 2024-01-07 [Key-value databases]
14. Ecliptic: The ecliptic or ecliptic plane is the orbital plane of Earth around the Sun. From the perspective of an observer on Earth, the Sun's movement around the celestial sphere over the course of a year traces out a path ... (Astronomy) [72%] 2023-11-08 [Dynamics of the Solar System] [Technical factors of astrology]...
15. Ecliptic: In astronomy, the ecliptic is the great circle on the celestial sphere that the Sun, seen from the Earth, seems to describe in the sky. The ecliptic lies in the ecliptic plane that by definition contains the Earth and the ... [72%] 2022-09-07
16. Ecliptic: Ecliptic is the plane in space which contains the Sun, Earth, and the other major planets: The solar system is rather flat, with all its major parts moving in nearly the same plane. The path of the Sun across the ... [72%] 2023-03-04 [Astronomy]
17. Lenstra elliptic-curve factorization: The Lenstra elliptic-curve factorization or the elliptic-curve factorization method (ECM) is a fast, sub-exponential running time, algorithm for integer factorization, which employs elliptic curves. For general-purpose factoring, ECM is the third-fastest known factoring method. (Algorithm for integer factorization) [70%] 2023-08-22 [Integer factorization algorithms] [Finite fields]...
18. Lenstra elliptic-curve factorization: The Lenstra elliptic-curve factorization or the elliptic-curve factorization method (ECM) is a fast, sub-exponential running time, algorithm for integer factorization, which employs elliptic curves. For general-purpose factoring, ECM is the third-fastest known factoring method. (Algorithm for integer factorization) [70%] 2023-09-26 [Integer factorization algorithms] [Finite fields]...
19. Elliptic curve only hash: The elliptic curve only hash (ECOH) algorithm was submitted as a candidate for SHA-3 in the NIST hash function competition. However, it was rejected in the beginning of the competition since a second pre-image attack was found. (Cryptographic hash function) [70%] 2022-10-28 [Cryptographic hash functions]