On the 2-part of the class number of \(\mathbb{Q}(\sqrt{\pm D})\) for a congruent number \(D\)

DOI10.1007/s40993-022-00382-1OpenAlexW4298393599MaRDI QIDQ2081530

Anupam Saikia, Shamik Das

Publication date: 13 October 2022

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

Full work available at URL: https://doi.org/10.1007/s40993-022-00382-1

zbMATH Keywords

class numberelliptic curvecongruent number

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Class numbers, class groups, discriminants (11R29) Power residues, reciprocity (11A15)

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Regulator constants and the parity conjecture
• A classical Diophantine problem and modular forms of weight \(3/2\)
• The size of Selmer groups for the congruent number problem
• The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
• Class numbers of complex quadratic fields
• The Arithmetic of Elliptic Curves
• On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• Class Numbers of Real Quadratic Number Fields

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