Conjectures Concerning the Orders of the Torsion Subgroup, the Arithmetic Component Groups, and the Cuspidal Subgroup

DOI10.1080/10586458.2013.821392zbMath1288.11058arXiv0810.5181OpenAlexW2026100702WikidataQ122877461 ScholiaQ122877461MaRDI QIDQ5415561

Amod Agashe

Publication date: 13 May 2014

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

Full work available at URL: https://arxiv.org/abs/0810.5181

zbMATH Keywords

torsion subgroupelliptic curveBirch-Swinnerton-Dyer conjecturecuspidal subgroup

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (4)

Computing intersection numbers between abelian varieties associated to subspaces of modular forms ⋮ Rational torsion in elliptic curves and the cuspidal subgroup ⋮ The cuspidal class number formula for the modular curves \(X_1(2p)\) ⋮ Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties. II.

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Torsion and Tamagawa numbers
• Modular curves and the Eisenstein ideal
• Optimal quotients of modular Jacobians
• Galois properties of points of finite order of elliptic curves
• MULTIPLICATIVE SUBGROUPS OF J 0(N) AND APPLICATIONS TO ELLIPTIC CURVES

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