Heron triangles with three rational medians

DOI10.1216/RMJ-2019-49-2-405zbMath1418.11052OpenAlexW2949177826WikidataQ127627927 ScholiaQ127627927MaRDI QIDQ2002501

Ralph H. Buchholz, Robert P. Stingley

Publication date: 12 July 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1561318385

zbMATH Keywords

elliptic curveChabauty methodrational area triangle

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45)

Related Items (5)

A Heron triangle and a Diophantine equation ⋮ PERFECT TRIANGLES ON THE CURVE ⋮ On Ceva points of (almost) equilateral triangles ⋮ Heron triangles with two rational medians and Somos-5 sequences ⋮ Construction of an infinite family of elliptic curves of 2-Selmer rank 1 from Heron triangles

Uses Software

• Magma

Cites Work

• Unnamed Item
• The Magma algebra system. I: The user language
• On triangles with rational altitudes, angle bisectors or medians
• Heron triangles and elliptic curves
• An Infinite Set of Heron Triangles with Two Rational Medians
• Unsolved problems in number theory

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