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- W1914437040 abstract "Let E be an optimal elliptic curve over Q of prime conductor N. We show that if for an odd prime p, the mod p representation associated to E is reducible (in particular, if p divides the order of the torsion subgroup of E(Q)), then the p-primary component of the ShafarevichTate group of E is trivial. We also state a related result for more general abelian subvarieties of J0(N) and mention what to expect if N is not prime." @default.
- W1914437040 created "2016-06-24" @default.
- W1914437040 creator A5091041300 @default.
- W1914437040 date "2009-05-26" @default.
- W1914437040 modified "2023-09-27" @default.
- W1914437040 title "Mod-p reducibility, the torsion subgroup, and the Shafarevich-Tate group" @default.
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