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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- Last edited by Andrew Sutherland on 2020-10-10 12:41:35

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- 2020-10-10 12:41:35 by Andrew Sutherland (Reviewed)