On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\)
type: Item
instance of: scholarly article
title: On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\)
zbMATH Open document ID: 0906.11023
author: Shoichi Kihara
published in: Proceedings of the Japan Academy. Series A
publication date: 1999-02-07T00:00:00Z
review text: The author improves the result of [\textit{S. Kihara}, Proc. Japan Acad., Ser. A 73, No. 8, 151 (1997; Zbl 0906.11025)]. He proves that there exist infinitely many elliptic curves defined over \(\mathbb{Q}\) with rank \(\geq 14\). The construction is explicit.
reviewed by: Federico Pellarin
Mathematics Subject Classification ID: 11G05
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 1022290
zbMATH Keywords: elliptic curves over global fields
zbMATH Keywords: Mordell-Weil group
MaRDI profile type: Publication
full work available at URL: pjaa.73.32
OpenAlex ID: W2039295200
cites work: Q3710637
cites work: An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)
cites work: On the rank of the elliptic curve \(y^ 2=x^ 3+k\). II
DOI: 10.3792/PJAA.73.32
description: scientific article; zbMATH DE number 1022290