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- W4298342839 abstract "Let $J^{65}$ be the Jacobian of the Shimura curve attached to the indefinite quaternion algebra over $mathbb{Q}$ of discriminant $65$. We study the isogenies $J_0(65)rightarrow J^{65}$ defined over $mathbb{Q}$, whose existence was proved by Ribet. We prove that there is an isogeny whose kernel is supported on the Eisenstein maximal ideals of the Hecke algebra acting on $J_0(65)$, and moreover the odd part of the kernel is generated by a cuspidal divisor of order $7$, as is predicted by a conjecture of Ogg." @default.
- W4298342839 created "2022-10-02" @default.
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- W4298342839 date "2017-06-26" @default.
- W4298342839 modified "2023-10-17" @default.
- W4298342839 title "On Ribet's isogeny for $J_0(65)$" @default.
- W4298342839 doi "https://doi.org/10.48550/arxiv.1706.08228" @default.
- W4298342839 hasPublicationYear "2017" @default.
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