An **endomorphism** of an elliptic curve defined over a field $K$ is a homomorphism $\varphi\colon E\to E$ defined over $K$. The set of all endomorphisms of $E$ forms a ring called the endomorphism ring of $E$, denoted $\End(E)$, a special case of the endomorphism ring of an abelian variety.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by John Voight on 2020-09-26 17:01:15

**Referred to by:**

**History:**(expand/hide all)

- 2020-09-26 17:01:15 by John Voight (Reviewed)
- 2020-09-26 16:54:36 by John Voight
- 2018-06-18 02:40:26 by John Jones (Reviewed)

**Differences**(show/hide)