A parametrization of \(\theta\)-congruent numbers with many prime factors and with prescribed prime factors

DOI10.1016/J.JMAA.2018.01.068zbMath1469.11170OpenAlexW2789708245MaRDI QIDQ1754597

Bo-Hae Im, Han Sol Kim

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.068

zbMATH Keywords

elliptic curve\(\theta\)-congruent numbercongruent number

Mathematics Subject Classification ID

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

Uses Software

• Maple
• Mathematica

Cites Work

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• Elliptic curves and the density of \({\theta}\)-congruent numbers and concordant pairs in ratios
• Mock Heegner points and congruent numbers
• A classical Diophantine problem and modular forms of weight \(3/2\)
• Finiteness theorems for abelian varieties over number fields.
• Modular curves and the Eisenstein ideal
• Congruent numbers and Heegner points
• Power-free integers represented by linear forms
• Diophantine analysis and modular forms
• Understanding Maple
• Congruent Numbers and Elliptic Curves

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