The Manin constant in the semistable case

DOI10.1112/S0010437X18007273zbMath1430.11086arXiv1703.02951OpenAlexW3099607544MaRDI QIDQ3121283

Kęstutis Česnavičius

Publication date: 15 March 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02951

zbMATH Keywords

newformelliptic curveNéron modelHecke algebramodular curveManin constant

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (9)

Shimura curves and the abc conjecture ⋮ The Manin constant and the modular degree ⋮ Integrality of twisted \(L\)-values of elliptic curves ⋮ On the 2‐part of the Birch and Swinnerton‐Dyer conjecture for quadratic twists of elliptic curves ⋮ Galois extensions and a conjecture of Ogg ⋮ On the weak forms of the 2-part of Birch and Swinnerton-Dyer conjecture ⋮ A conjecture of Watkins for quadratic twists ⋮ The Manin constant in the semistable case ⋮ A divisibility related to the Birch and Swinnerton-Dyer conjecture

Uses Software

• Magma

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