The rational torsion subgroup of \(J_0(N)\)

DOI10.1016/j.aim.2023.109111zbMath1514.14030arXiv2106.01020OpenAlexW3168045167MaRDI QIDQ6103501

Hwajong Yoo

Publication date: 5 June 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01020

zbMATH Keywords

Eisenstein idealsrational torsion subgroupcuspidal subgroups

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (1)

The rational cuspidal subgroup of J0(p2M)$J_0(p^2M)$ with M squarefree

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The index of an Eisenstein ideal and multiplicity one
• On spaces of modular forms spanned by eta-quotients
• The action of the Hecke operators on the component groups of modular Jacobian varieties
• La courbe modulaire \(X_ 0(125)\) et sa jacobienne. (The modular curve \(X_ 0(125)\) and its Jacobian)
• Galois properties of torsion points on abelian varieties
• Modular curves and the Eisenstein ideal
• The cuspidal class number formula for the modular curves \(X_ 0(M)\) with \(M\) square-free
• On the \(\mathbb{Q}\)-rational cuspidal subgroup and the component group of \(J_0(p^r)\)
• Rational torsion subgroups of modular Jacobian varieties
• On the ramification of Hecke algebras at Eisenstein primes
• Two theorems on modular curves
• Modular elliptic curves and Fermat's Last Theorem
• The rational cuspidal divisor class group of \(X_0(N)\)
• Modular units and cuspidal divisor classes on \(X_0(n^2M)\) with \(n|24\) and \(M\) squarefree
• The Eisenstein ideal with squarefree level
• Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties. II.
• Good reduction of abelian varieties
• Spécialisation du foncteur de Picard
• Rational torsion points on Jacobians of modular curves
• Néron Models
• Diophantine equations and modular forms
• Les Schémas de Modules de Courbes Elliptiques
• Quadratic points on modular curves with infinite Mordell–Weil group
• On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties
• Quadratic points on modular curves
• PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES
• The rational cuspidal subgroup of J0(p2M)$J_0(p^2M)$ with M squarefree

This page was built for publication: The rational torsion subgroup of \(J_0(N)\)