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An elliptic curve $E$ over a field $k$ is a smooth projective curve of genus $1$ together with a distinguished $k$-rational point $O$.

The most commonly used model for elliptic curves is a Weierstrass model: a smooth plane cubic with the point $O$ as the unique point at infinity.

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• Review status: reviewed
• Last edited by John Jones on 2018-06-18 02:34:46
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