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math.NT2009★ 2 cited
Visibility and the Birch and Swinnerton-Dyer conjecture for analytic rank zero
Amod Agashe
Let be an optimal elliptic curve over $\Q$ of conductor having analytic rank zero, i.e., such that the -function of does not vanish at . Suppose there…
math.NT2009★ 1 cited
Mod-p reducibility, the torsion subgroup, and the Shafarevich-Tate group
Amod Agashe
Let be an optimal elliptic curve over $\Q$ of prime conductor . We show that if for an odd prime , the mod representation associated to is reducible (in particula…