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An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)

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Publication:1340359
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DOI10.3792/pjaa.70.152zbMath0848.14015OpenAlexW1981042805MaRDI QIDQ1340359

Koh-ichi Nagao

Publication date: 19 December 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.152


zbMATH Keywords

elliptic curverank


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Algebraic functions and function fields in algebraic geometry (14H05)


Related Items (7)

From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture ⋮ On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\) ⋮ Elliptic Curves of High Rank with Nontrivial Torsion Group over Q ⋮ On an elliptic curve over \(\mathbb{Q} (t)\) of rank \(\geq 14\) ⋮ Symmetric Diophantine systems and families of elliptic curves of high rank ⋮ Rational points on quadratic elliptic surfaces ⋮ Ranks of elliptic curves



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