# Elliptic curve (equation)

## Description

In mathematics, an elliptic curve (EC) is a smooth, projective algebraic curve of genus one, on which there is a specified point.Any elliptic curve can be written as a plane algebraic curve defined by an equation, which is non-singular; that is, its graph has no cusps or self-intersections.

Related formulas## Variables

y | Y-coordinate (dimensionless) |

x | X-coordinate (dimensionless) |

a | Linear coefficient (dimensionless) |

b | Free term (dimensionless) |