High-rank elliptic curves with torsion induced by Diophantine triples

DOI10.1112/S1461157014000023zbMath1293.11075OpenAlexW2801896988WikidataQ57595827 ScholiaQ57595827MaRDI QIDQ5170265

Andrej Dujella, Juan Carlos Peral

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157014000023

zbMATH Keywords

elliptic curvefield of rational functionshigh-rankdiophantine triple

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (15)

On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields ⋮ High-rank elliptic curves with given torsion group and some applications ⋮ On the Mordell-Weil group of elliptic curves induced by families of Diophantine triples ⋮ Elliptic curves with torsion group Z/6Z ⋮ Elliptic curves coming from Heron triangles ⋮ Sumsets being squares ⋮ Elliptic curve involving subfamilies of rank at least 5 over $\mathbb{Q}(t)$ or $\mathbb{Q}(t,k)$ ⋮ Families of elliptic curves of rank \(\geq 5\) over \(\mathbb Q(t)\) ⋮ The rank and generators of Kihara's elliptic curve with torsion \(\mathbb Z /4\mathbb Z \) over \(\mathbb Q (t)\) ⋮ Diophantine quadruples with the properties \(D(n_1)\) and \(D(n_2)\) ⋮ Construction of high rank elliptic curves ⋮ Elliptic curves induced by Diophantine triples ⋮ High rank elliptic curves induced by rational Diophantine triples ⋮ On class numbers, torsion subgroups, and quadratic twists of elliptic curves ⋮ On elliptic curves induced by rational Diophantine quadruples

This page was built for publication: High-rank elliptic curves with torsion induced by Diophantine triples