Rational torsion points on Jacobians of modular curves

DOI10.4064/aa8140-12-2015zbMath1337.11039arXiv1504.04842OpenAlexW2964006662MaRDI QIDQ2804243

Hwajong Yoo

Publication date: 28 April 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04842

zbMATH Keywords

modular curvesrational pointsEisenstein ideals

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10)

Related Items (6)

The index of an Eisenstein ideal and multiplicity one ⋮ The rational torsion subgroup of \(J_0(N)\) ⋮ 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 ⋮ On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties ⋮ The rational cuspidal divisor class group of \(X_0(N)\)

Cites Work

• Modular curves and the Eisenstein ideal
• Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties. II.
• Diophantine equations and modular forms
• On the rational cuspidal subgroup and the rational torsion points of $J_0(pq)$

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