On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\)

DOI10.3792/pjaa.73.32zbMath0906.11023OpenAlexW2039295200MaRDI QIDQ1357066

Shoichi Kihara

Publication date: 7 February 1999

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.73.32

zbMATH Keywords

Mordell-Weil groupelliptic curves over global fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (4)

Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points ⋮ Elliptic Curves of High Rank with Nontrivial Torsion Group over Q ⋮ On an elliptic curve over \(\mathbb{Q} (t)\) of rank \(\geq 14\) ⋮ Ranks of elliptic curves

Cites Work

• Unnamed Item
• An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)
• On the rank of the elliptic curve \(y^ 2=x^ 3+k\). II

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