Category
page 1Elliptic curves
elliptic curve
a smooth projective curve of genus 1 equipped with a rational basepoint
congruent number
positive integer that is the area of a right triangle with three rational number sides
Curve25519
In cryptography, Curve25519 is an elliptic curve used in elliptic-curve cryptography (ECC) offering 128 bits of security (256-bit key size) and designed for use with the Elliptic-curve Diffie–Hellman (ECDH) key agreement scheme, first described and implemented by Daniel J. Bernstein. It is one of the fastest curves in ECC, and is not covered by any known patents. The reference implementation is public domain software.
Poncelet's closure theorem
theorem of 2D geometry
Mordell–Weil theorem
theorem
Hasse's theorem on elliptic curves
Heegner point
special point on an algebraic curve
Mordell curve
type of elliptic curve
Montgomery curve
form of elliptic curve
Schoof's algorithm
efficient algorithm to count points on elliptic curves
Edwards curve
family of elliptic curves of the form 𝑥²+𝑦²=1+𝑑𝑥²𝑦²