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The isogeny class (over a field $K$) of an elliptic curve $E$ defined over $K$ is the set of all isomorphism classes of elliptic curves defined over $K$ that are isogenous to $E$ over $K$. Over a number field $K$ this is always a finite set.

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• Review status: reviewed
• Last edited by John Jones on 2018-06-18 21:24:04
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