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Visibility and the Birch and Swinnerton-Dyer Conjecture for Analytic Rank One
Let E be an optimal elliptic curve over of conductor N having analytic rank one, i.e. such that the L-function LE(s) of E vanishes to order one at s = 1. Let K be a quadratic imaginary field in which all the primes dividing N split and such that the …