High rank quadratic twists of pairs of elliptic curves

DOI10.1016/j.jnt.2016.11.022zbMath1419.11090arXiv1610.07967OpenAlexW2963794097MaRDI QIDQ503734

Mohamed Alaa, Mohammad Sadek

Publication date: 23 January 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07967

zbMATH Keywords

elliptic curvesMordell-Weil rankquadratic twists

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Cites Work

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• Mordell-Weil ranks of quadratic twists of pairs of elliptic curves.
• Positive rank quadratic twists of four elliptic curves
• Rank Frequencies for Quadratic Twists of Elliptic Curves
• Twists of elliptic curves of rank at least four
• Rang de certaines familles de courbes elliptiques d'invariant donné
• Classical invariants and 2-descent on elliptic curves

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