On the rational cuspidal subgroup and the rational torsion points of $J_0(pq)$

DOI10.1090/S0002-9939-97-03874-4zbMath0891.11036OpenAlexW1498384322MaRDI QIDQ4372307

San Ling, Seng Kiat Chua

Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03874-4

zbMATH Keywords

Mordell-Weil groupmodular formsJacobian varietiesModular curves

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (10)

On Eisenstein ideals and the cuspidal group of \(J_{0}(N)\) ⋮ On Ribet’s isogeny for $J_0(65)$ ⋮ The rational cuspidal subgroup of J0(p2M)$J_0(p^2M)$ with M squarefree ⋮ Modular units and cuspidal divisor classes on \(X_0(n^2M)\) with \(n|24\) and \(M\) squarefree ⋮ Rational torsion in elliptic curves and the cuspidal subgroup ⋮ The \(\mathbb{Q}\)-rational cuspidal group of \(J_{1}(2p)\) ⋮ Galois extensions and a conjecture of Ogg ⋮ Rational torsion points on Jacobians of Shimura curves ⋮ Rational torsion points on Jacobians of modular curves ⋮ The rational cuspidal divisor class group of \(X_0(N)\)

Cites Work

• Modular curves and the Eisenstein ideal
• The old subvariety of \(J_ 0(pq)\) and the Eisenstein kernel in Jacobians
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• THE RATIONAL POINTS ON THE JACOBIANS OF MODULAR CURVES
• Hyperelliptic modular curves
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• Unnamed Item
• Unnamed Item

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