The rank of a CM elliptic curve and a recurrence formula

DOI10.1016/j.jnt.2021.08.003OpenAlexW3199135596WikidataQ113870342 ScholiaQ113870342MaRDI QIDQ2162781

Keiichiro Nomoto

Publication date: 9 August 2022

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

Full work available at URL: https://arxiv.org/abs/2103.08947

zbMATH Keywords

elliptic curve\(L\)-functionrecurrence formula

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Uses Software

• Magma

Cites Work

• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Groupes de Selmer et corps cubiques. (Selmer group and cubic fields)
• The Magma algebra system. I: The user language
• Eta Products and Theta Series Identities
• On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger
• Sylvester’s problem and mock Heegner points
• Notes on elliptic curves. II.
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