An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)
type: Item
instance of: scholarly article
title: An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)
zbMATH Open document ID: 0848.14015
author: Koh-ichi Nagao
published in: Proceedings of the Japan Academy. Series A
publication date: 1994-12-19T00:00:00Z
review text: \textit{J. F. Mestre} [C. R. Acad. Sci., Paris, Sér. I, 313, No. 3, 139-142 and No. 4, 171-174 (1991; Zbl 0745.14013 and Zbl 0749.14026)] has constructed examples of elliptic curves over \(\mathbb{Q} (T)\) with ranks 11 or 12, respectively. The author uses Mestre's method to construct an elliptic curve with rank \(\geq 13\).
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 14H25
Mathematics Subject Classification ID: 14H05
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 701471
zbMATH Keywords: elliptic curve
zbMATH Keywords: rank
MaRDI profile type: Publication
full work available at URL: pjaa.70.152
OpenAlex ID: W1981042805
cites work: Q3981497
cites work: Q3983702
cites work: Q5582375
DOI: 10.3792/PJAA.70.152
description: scientific article; zbMATH DE number 701471