An isomorphism between two elliptic curves , defined over a field is an isogeny such that there exist an isogeny with the compositions and being the identity maps. Equivalently, an isomorphism is an isogeny of degree .
Isomorphism is an equivalence relation, the equivalnce classes being called isomorphism classes.
When and are defined by Weierstrass models, such an isomorphism is uniquely represented as a Weierstrass isomorphism between these models.
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- Last edited by John Jones on 2018-06-19 22:24:01
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- 2018-06-19 22:24:01 by John Jones (Reviewed)