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Questions related to the Birch and Swinnerton-Dyer conjecture about the vanishing order and first Taylor coefficient of the L-functions of elliptic curves at the point 1.
14
votes
Deducing BSD from Gross-Zagier and Kolyvagin
No papers because it's not proven for elliptic curves of rank zero or one.
The work of Kolyvagin, together with the work of Gross and Zagier almost proves that if $E_/{\mathbf{Q}}$ is an elliptic cur …