On the distribution of congruent numbers

DOI10.3792/pjaa.86.89zbMath1228.11083OpenAlexW2039506169MaRDI QIDQ1959765

Jennifer Ann Johnstone, Blair K. Spearman

Publication date: 12 October 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.89

zbMATH Keywords

elliptic curvesMordell-Weil rankcongruent numbers

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (1)

Concordant pairs in ratios with rank at least two and the distribution of \(\theta\)-congruent numbers

Uses Software

• Magma

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• All congruent numbers less than 40000
• All congruent numbers less than 10 000
• The Magma algebra system. I: The user language
• A Note on Congruent Numbers
• Lucas' square pyramid problem revisited
• Congruent Numbers and Elliptic Curves

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