A note on the Mordell-Weil rank modulo \(n\)

DOI10.1016/j.jnt.2011.03.010zbMath1262.11067arXiv0910.4588OpenAlexW1985190629MaRDI QIDQ555282

Tim Dokchitser, Vladimir Dokchitser

Publication date: 22 July 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4588

zbMATH Keywords

elliptic curvesMordell-Weil rank

Mathematics Subject Classification ID

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

Related Items

Root numbers and parity phenomena

Uses Software

• Magma

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• Mean values of derivatives of modular \(L\)-series
• The Magma algebra system. I: The user language
• Galois properties of points of finite order of elliptic curves
• Nonvanishing theorems for L-functions of modular forms and their derivatives
• Vanishing of L-functions of elliptic curves over number fields
• Correspondances de Shimura et quaternions
• A note on Larsen's conjecture and ranks of elliptic curves
• Heights of Heegner points on Shimura curves.