An example of elliptic curve over \(\mathbb{Q}\) with rank \(> 21\)

DOI10.3792/PJAA.70.104zbMath0832.14022OpenAlexW2055362738MaRDI QIDQ1340348

Tomonori Kouya, Koh-ichi Nagao

Publication date: 18 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.70.104

zbMATH Keywords

rational pointrank of elliptic curve

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves (14H52)

Related Items (9)

From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture ⋮ Elliptic curves with torsion group Z/6Z ⋮ A family of elliptic curves with rank \(\geq 5\) ⋮ Elliptic curve involving subfamilies of rank at least 5 over $\mathbb{Q}(t)$ or $\mathbb{Q}(t,k)$ ⋮ Elliptic Curves of High Rank with Nontrivial Torsion Group over Q ⋮ On high rank \(\pi/3\) and \(2\pi/3\)-congruent number elliptic curves ⋮ Computing canonical heights with little (or no) factorization ⋮ Rational points on quadratic elliptic surfaces ⋮ Ranks of elliptic curves

Cites Work

• An example of elliptic curve over \(\mathbb{Q}\) with rank \(\geq 20\)

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