New generalizations of congruent numbers

DOI10.1016/j.jnt.2018.05.003zbMath1460.11082OpenAlexW2809299105WikidataQ114157311 ScholiaQ114157311MaRDI QIDQ1668849

Tsubasa Ochiai

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.05.003

zbMATH Keywords

envelope\(\theta\)-congruent numbercongruent numberrational triangle

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Rational points (14G05) Elliptic curves over global fields (11G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (1)

Rational 𝜃-parallelogram envelopes via 𝜃-congruent elliptic curves

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• Symbolic parametrization of curves
• Riemann-Roch for singular varieties
• Modular curves and the Eisenstein ideal
• The Arithmetic of Elliptic Curves
• Right triangles with algebraic sides and elliptic curves over number fields
• Computing the Degree of the Modular Parametrization of a Modular Elliptic Curve

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