Rational torsion in elliptic curves and the cuspidal subgroup

DOI10.5802/jtnb.1017zbMath1428.11104OpenAlexW2963840004MaRDI QIDQ4614332

Amod Agashe

Publication date: 31 January 2019

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jtnb.1017

zbMATH Keywords

elliptic curvestorsion subgroupcuspidal subgroup

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Uses Software

• ecdata

Cites Work

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• Arithmetic on modular curves
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• Hecke operators on \(\Gamma_0(m)\)
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• MULTIPLICATIVE SUBGROUPS OF J 0(N) AND APPLICATIONS TO ELLIPTIC CURVES
• The Cuspidal Group and Special Values of L-Functions
• On the rational cuspidal subgroup and the rational torsion points of $J_0(pq)$
• Les Schémas de Modules de Courbes Elliptiques
• Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero
• Conjectures Concerning the Orders of the Torsion Subgroup, the Arithmetic Component Groups, and the Cuspidal Subgroup
• Congruences between Modular Forms, Cyclic Isogenies of Modular Elliptic Curves, and Integrality of 𝑝-adic 𝐿-Functions
• RATIONAL TORSION ON OPTIMAL CURVES

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