Addendum to a paper of Harada and Lang
type: Item
instance of: scholarly article
title: Addendum to a paper of Harada and Lang
zbMATH Open document ID: 0759.11021
DOI: 10.1016/0021-8693(92)90112-Y
published in: Journal of Algebra
publication date: 1992-06-28T00:00:00Z
review text: [Cf. \textit{K. Harada} and \textit{M. L. Lang}, J. Algebra 125, 298-310 (1989; Zbl 0715.11029).] The usual proof, by Riemann-Roch, that an elliptic curve can be put into Weierstraß form does not provide a practical algorithm, but appropriate transformations are described, e.g., by \textit{J. W. S. Cassels} [Lectures on Elliptic Curves, Cambridge Univ. Press (1991; Zbl 0752.14033)] for general cubics, quartics, and intersections of two quadric surfaces (with a rational point in each case). The present paper discusses such algorithms for the first two cases. [Author's note: Both these algorithms are included as procedures in ``apecs'' (arithmetic of plane elliptic curves) which is a comprehensive program written in MAPLE intended for free distribution].
Mathematics Subject Classification ID: 11G05
Mathematics Subject Classification ID: 11Y16
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 14Q05
zbMATH DE Number: 33062
zbMATH Keywords: curve of genus one
zbMATH Keywords: Weierstraß equation
zbMATH Keywords: elliptic curve
zbMATH Keywords: algorithms
author: I. G. Connell
reviewed by: Heinz-Georg Quebbemann
describes a project that uses: Maple
MaRDI profile type: Publication
cites work: Some elliptic curves arising from the Leech lattice
cites work: Q5582375
description: scientific article; zbMATH DE number 33062