Open Access
September 2012 On torsion points of certain CM elliptic curves
Naoki Murabayashi
Funct. Approx. Comment. Math. 47(1): 89-93 (September 2012). DOI: 10.7169/facm/2012.47.1.7

Abstract

Let $E$ be a CM elliptic curve defined over an algebraic number field $F$ with CM by an imaginary quadratic field $K$. We determine the group of $K_{ab}F$-rational torsion points of $E$. In some cases we also determine the group of $F$ or $KF$-rational torsion points of $E$.

Citation

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Naoki Murabayashi. "On torsion points of certain CM elliptic curves." Funct. Approx. Comment. Math. 47 (1) 89 - 93, September 2012. https://doi.org/10.7169/facm/2012.47.1.7

Information

Published: September 2012
First available in Project Euclid: 25 September 2012

zbMATH: 1290.11098
MathSciNet: MR2987113
Digital Object Identifier: 10.7169/facm/2012.47.1.7

Subjects:
Primary: 11G15
Secondary: 11G18

Keywords: CM elliptic curves , modularity , torsion points.

Rights: Copyright © 2012 Adam Mickiewicz University

Vol.47 • No. 1 • September 2012
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