On the rank of elliptic curves arising from Pythagorean quadruplets, II

DOI10.4064/CM8101-3-2020zbMath1467.14075OpenAlexW3034752050WikidataQ114022007 ScholiaQ114022007MaRDI QIDQ5146405

Arman Shamsi Zargar, Dustin Moody

Publication date: 25 January 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8101-3-2020

zbMATH Keywords

elliptic curverational pointrankPythagorean quadruplet

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)

Cites Work

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• On the rank of elliptic curves arising from Pythagorean quadruplets
• Families of elliptic curves of rank \(\geq 5\) over \(\mathbb Q(t)\)
• Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples
• On the rank of elliptic curves with long arithmetic progressions
• Almost Pythagorean Triples

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