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For an elliptic $E$ curve over $\mathbb{Q}$ the Birch/Swinnerton-Dyer invariants are

The Birch and Swinnerton-Dyer Conjecture asserts that the above invariants combine to give the order of vanishing and the first non-zero Taylor series coefficient of $L(E,s)$ at the central point $s=1.$

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• Last edited by Vishal Arul on 2019-09-20 16:30:06
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