An infinite family of elliptic curves over \(\mathbb{Q}\) with large rank via Néron's method
type: Item
instance of: scholarly article
title: An infinite family of elliptic curves over \(\mathbb{Q}\) with large rank via Néron's method
zbMATH Open document ID: 0766.14024
DOI: 10.1007/BF01243907
author: Tetsuji Shioda
published in: Inventiones Mathematicae
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/143936
review text: Here the author gives a simplified, complete and explicit (so explicit to have numerical examples) version of Néron's construction [\textit{A. Néron}, Proc. Internat. Congr. Math., Amsterdam 1954, Vol. III, 481-488 (1956; Zbl 0074.159)] of an infinite family of elliptic curves over \(\mathbb{Q}\) with rank 11: A very nice result and a very well written paper.
reviewed by: E. Ballico
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 59796
zbMATH Keywords: high rank curves
zbMATH Keywords: infinite family of elliptic curves with rank 11
MaRDI profile type: Publication
cites work: Constructions Arising from Neron's High Rank Curves
cites work: Q3705555
cites work: Mordell-Weil lattices and Galois representation. I
cites work: Q5203144
cites work: Heights and the specialization map for families of abelian varieties.
cites work: Variation of the Canonical Height of a Point Depending on a Parameter
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description: scientific article; zbMATH DE number 59796