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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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