Rational torsion in complex-multiplication elliptic curves
type: Item
instance of: scholarly article
title: Rational torsion in complex-multiplication elliptic curves
zbMATH Open document ID: 0703.14023
DOI: 10.1016/0022-314X(89)90012-7
author: James L. Parish
published in: Journal of Number Theory
publication date: 1989-01-01T00:00:00Z
review text: It is given a full description of the torsion group on an elliptic curve with complex multiplication. The fields of rationality are the multiplication field F and the field F(j) where j is an absolute invariant of the curve.
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 14K22
zbMATH DE Number: 4152573
zbMATH Keywords: torsion group on an elliptic curve with complex multiplication
zbMATH Keywords: fields of rationality
reviewed by: A. N. Parshin
MaRDI profile type: Publication
cites work: Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
cites work: Q4143433
cites work: A Family of Abelian Varieties Rationally Isogenous to No Jacobian
cites work: The arithmetic of elliptic curves
cites work: The Field of Definition of a Variety
description: scientific article; zbMATH DE number 4152573