# Category:Elliptic Curves

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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.

## Subcategories

This category has only the following subcategory.

### E

- Examples of Elliptic Curves (3 P)