On the rank of the elliptic curves with a rational point of order 4
type: Item
instance of: scholarly article
title: On the rank of the elliptic curves with a rational point of order 4
zbMATH Open document ID: 1050.11058
author: Shoichi Kihara
published in: Proceedings of the Japan Academy. Series A
publication date: 2004-10-25T00:00:00Z
review text: The author proves the following two theorems: 1) There is an elliptic curve defined over \(\mathbb Q(t)\) with a rational point of order \(4\) and rank \(\geq 4\). 2) There are infinitely many elliptic curves defined over \(\mathbb Q\) with a rational point of order \(4\) and rank \(\geq 5\).
reviewed by: Franz Lemmermeyer
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 2109878
zbMATH Keywords: elliptic curve
zbMATH Keywords: rank
MaRDI profile type: Publication
full work available at URL: pjaa.80.26
OpenAlex ID: W1971636528
cites work: On the rank of the elliptic curve \(y^2= x^3+kx\)
cites work: Q4012535
cites work: Q4859099
DOI: 10.3792/PJAA.80.26
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description: scientific article; zbMATH DE number 2109878