Functiones et Approximatio Commentarii Mathematici

On torsion points of certain CM elliptic curves

Naoki Murabayashi

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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 $E$.

Article information

Funct. Approx. Comment. Math., Volume 47, Number 1 (2012), 89-93.

First available in Project Euclid: 25 September 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11G15: Complex multiplication and moduli of abelian varieties [See also 14K22]
Secondary: 11G18: Arithmetic aspects of modular and Shimura varieties [See also 14G35]

modularity CM elliptic curves torsion points.


Murabayashi, Naoki. On torsion points of certain CM elliptic curves. Funct. Approx. Comment. Math. 47 (2012), no. 1, 89--93. doi:10.7169/facm/2012.47.1.8.

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