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The Mordell-Weil group of an elliptic curve $E$ over a number field $K$ is a finitely generated group, explicitly described by giving a $\Z$-basis for the group, equivalently, a (minimal) set of Mordell-Weil generators, each of which is a rational point on the curve.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2020-10-10 12:41:35
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