For an elliptic curve $E$ defined over a number field $F$, the **Mordell-Weil theorem** states that the set $E(F)$ of $F$-rational points on $E$ is a finitely generated Abelian group.

This group is called the Mordell-Weil group of $E/K$.

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- Last edited by John Cremona on 2019-02-08 09:48:25

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- 2019-02-08 09:48:25 by John Cremona (Reviewed)