# Elliptic Curve

An elliptic curve is curve defined by an irreducible cubic polynomial in two variables.

Elliptic curve is a graduate-level concept that would be first encountered in a number theory course.

### Prerequisites

Diophantine Equation: | A Diophantine equation is an equation for which only integer solutions are allowed. |

Number Theory: | A field of mathematics sometimes called "higher arithmetic" consisting of the study of the properties of integers. Primes and prime factorization are especially important concepts in number theory. |