Category:Elliptic Curves

This category contains results about Elliptic Curves.
Definitions specific to this category can be found in Definitions/Elliptic Curves.

An elliptic curve is a plane curve $C$ embedded in the Cartesian plane such that:

$C$ can be defined by a polynomial equation such that:

the coefficients of $C$ are rational

the genus of $C$ is $1$

$C$ has at least $1$ rational lattice point.