On Ribet’s isogeny for $J_0(65)$

DOI10.1090/proc/14019zbMath1429.11113arXiv1706.08228OpenAlexW2963326327MaRDI QIDQ4563645

Krzysztof Klosin, Mihran Papikian

Publication date: 4 June 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08228

zbMATH Keywords

modular curvesHecke algebraEisenstein idealcuspidal divisor groupRibet's isogeny

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (2)

Genus two curves with full \(\sqrt{3}\)-level structure and Tate-Shafarevich groups ⋮ Galois extensions and a conjecture of Ogg

Uses Software

• ecdata

Cites Work

• The kernel of Ribet's isogeny for genus three Shimura curves
• On Jacquet-Langlands isogeny over function fields
• Galois properties of torsion points on abelian varieties
• Modular curves and the Eisenstein ideal
• Component groups of purely toric quotients.
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties. II.
• On maps between modular Jacobians and Jacobians of Shimura curves
• Rational torsion points on Jacobians of Shimura curves
• Néron Models
• On the rational cuspidal subgroup and the rational torsion points of $J_0(pq)$
• Courbes de Shimura hyperelliptiques
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