Torsion and Tamagawa numbers

DOI10.5802/aif.2664zbMath1283.11088OpenAlexW2316157738MaRDI QIDQ416014

Dino J. Lorenzini

Publication date: 9 May 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219806

zbMATH Keywords

elliptic curveabelian surfaceTamagawa number

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35)

Related Items

Local data of rational elliptic curves with nontrivial torsion, Tamagawa numbers of elliptic curves with torsion points, Néron models, Lower bounds for the modified Szpiro ratio, 2‐Selmer parity for hyperelliptic curves in quadratic extensions, On the gaps between non-zero Fourier coefficients of cusp forms of higher weight, Integrality of twisted \(L\)-values of elliptic curves, Unnamed Item, Brauer groups and Néron class groups, Geometric stabilisation via $p$-adic integration, A conjecture of Gross and Zagier: Case E(ℚ)tor≅ℤ/2ℤ ⊕ ℤ/2ℤ, ℤ/2ℤ ⊕ ℤ/4ℤ or ℤ/2ℤ ⊕ ℤ/6ℤ, Conjectures Concerning the Orders of the Torsion Subgroup, the Arithmetic Component Groups, and the Cuspidal Subgroup, On a conjecture of Agashe, Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny, A conjecture of Gross and Zagier: Case E(ℚ)tor≅ℤ/3ℤ, On elliptic curves whose conductor is a product of two prime powers, A divisibility related to the Birch and Swinnerton-Dyer conjecture, Tamagawa Numbers of elliptic curves with 𝐶₁₃ torsion over quadratic fields

Uses Software

• Magma
• SageMath
• ecdata

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