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Elliptic Curves of High Rank with Nontrivial Torsion Group over Q

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Publication:2775773
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DOI10.1080/10586458.2001.10504464zbMath1060.11036OpenAlexW2089022607MaRDI QIDQ2775773

Colin Stahlke, Leopoldo Kulesz

Publication date: 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51228

zbMATH Keywords

high Mordell-Weil rank


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)


Related Items

High rank elliptic curves with prescribed torsion group over quadratic fields ⋮ Modular curves over number fields and ECM ⋮ An example of elliptic curve over \(\mathbb{Q}\) with rank equal to 15.



Cites Work

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  • An example of elliptic curve over \(\mathbb{Q}\) with rank \(> 21\)
  • An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)
  • On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\)
  • Construction of high-rank elliptic curves with a non-trivial rational point of order 2
  • On the rank of elliptic curves with three rational points of order 2. II
  • Implementing 2-descent for Jacobians of hyperelliptic curves
  • Construction of high-rank elliptic curves with a nontrivial torsion point
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