Rational hyperbolic triangles and a quartic model of elliptic curves

DOI10.1016/j.jnt.2016.01.004zbMath1416.11075arXiv1406.0467OpenAlexW2963202679MaRDI QIDQ266627

Nicolas Brody, Jordan Schettler

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1406.0467

zbMATH Keywords

triangleelliptic curvehyperbolicrational

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Elliptic curves over global fields (11G05)

Related Items (2)

Hyperbolic Heron triangles and elliptic curves ⋮ Spherical Heron triangles and elliptic curves

Cites Work

• Unnamed Item
• Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on \(K3\) surfaces
• Triangles with three rational medians.
• Elliptic curves and triangles with three rational medians
• Heron triangles via elliptic curves
• Computing quadric surface intersections based on an analysis of plane cubic curves

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