On high rank \(\pi/3\) and \(2\pi/3\)-congruent number elliptic curves

DOI10.1216/RMJ-2014-44-6-1867zbMath1321.11062arXiv1102.4291OpenAlexW2042790576WikidataQ57595829 ScholiaQ57595829MaRDI QIDQ2514546

Sajad Salami, Andrej Dujella, Juan Carlos Peral, Ali S. Janfada

Publication date: 3 February 2015

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

Full work available at URL: https://arxiv.org/abs/1102.4291

zbMATH Keywords

Mordell-Weil rankelliptic curve\(\theta\)-congruent number

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (3)

Four rational squares in arithmetic progressions and a family of elliptic curves with positive Mordell-Weil rank ⋮ Rational 𝜃-parallelogram envelopes via 𝜃-congruent elliptic curves ⋮ The \(\theta\)-congruent number elliptic curves via Fermat-type algorithms

Uses Software

• Magma
• PARI/GP
• ecdata

Cites Work

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• Algorithmic Number Theory
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• Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points

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