The **geometric endomorphism ring** of an elliptic curve $E$ over a field $K$ is $\End(E_{\overline{K}})$, the endomorphism ring of the base change of $E$ to an algebraic closure $\overline{K}$ of $K$.

This is a special case of the geometric endomorphism ring of an abelian variety.

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- Review status: reviewed
- Last edited by Andrew Sutherland on 2020-10-10 16:15:49

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

- 2020-10-10 16:15:49 by Andrew Sutherland (Reviewed)
- 2020-09-26 16:43:14 by John Voight (Reviewed)
- 2020-09-26 16:42:29 by John Voight
- 2020-09-26 16:41:55 by John Voight

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