Possible groups of K-rational pts for elliptic curves over arbitrary fields – mathoverflow.net

Possible groups of K-rational pts for elliptic curves over arbitrary fields – mathoverflow.net

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It is known that the group $\ C(\Bbb R)$ is isomorphic to U(1) (trivially) and $\ C(\Bbb Q)$ is isomorphic to $\Bbb Z^r\times E(\Bbb Q)$, where all possible $\ E(\Bbb Q)$ are known. Are there similar ...

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