The index of an Eisenstein ideal and multiplicity one

DOI10.1007/s00209-015-1579-4zbMath1338.11057arXiv1311.5275OpenAlexW1843083711MaRDI QIDQ269909

Hwajong Yoo

Publication date: 6 April 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5275

zbMATH Keywords

Jacobianmultiplicity onecuspidal groupsEisenstein idealsShimura subgroups

Mathematics Subject Classification ID

Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (14)

On Higher Congruences Between Cusp Forms and Eisenstein Series. II. ⋮ Quadratic torsion subgroups of modular Jacobian varieties ⋮ On Eisenstein ideals and the cuspidal group of \(J_{0}(N)\) ⋮ The rational torsion subgroup of \(J_0(N)\) ⋮ Higher congruences between newforms and Eisenstein series of squarefree level ⋮ Quadratic points on modular curves with infinite Mordell–Weil group ⋮ Quadratic points on modular curves ⋮ Galois extensions and a conjecture of Ogg ⋮ Rational torsion subgroups of modular Jacobian varieties ⋮ Rational torsion points on Jacobians of Shimura curves ⋮ On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties ⋮ Modularity of residual Galois extensions and the Eisenstein ideal ⋮ Non-optimal levels of a reducible mod $\ell $ modular representation ⋮ The Manin constant in the semistable case

Uses Software

• SageMath

Cites Work

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