elliptic curve
a smooth projective curve of genus 1 equipped with a rational basepoint
modular elliptic curve
type of elliptic curve
Montgomery curve
form of elliptic curve
twisted Edwards curve
family of elliptic curves of the form 𝑎𝑥²+𝑦²=1+𝑑𝑥²𝑦²
Edwards curve
family of elliptic curves of the form 𝑥²+𝑦²=1+𝑑𝑥²𝑦²
Jacobian curve
representation of an elliptic curve