Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples

DOI10.4064/aa160-2-5zbMath1279.14040arXiv1210.6933OpenAlexW2014351675WikidataQ114022093 ScholiaQ114022093MaRDI QIDQ2845647

Bartosz Naskręcki

Publication date: 2 September 2013

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6933

zbMATH Keywords

elliptic curvesMordell-Weil groupelliptic surfaces

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)

Related Items

Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter, Unnamed Item, Explicit moduli spaces for congruences of elliptic curves, Ranks, 2\-Selmer groups, and Tamagawa numbers of elliptic curves with \(\mathbb{Z} /2\mathbb{Z} \times \mathbb{Z} /8\mathbb{Z}\)-torsion, On the rank of elliptic curves arising from Pythagorean quadruplets, II, Families of elliptic curves of rank \(\geq 5\) over \(\mathbb Q(t)\), Unnamed Item

Uses Software

• Magma