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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1999; 36(5): 945-958

Printed September 1, 1999

Copyright © The Korean Mathematical Society.

Degree of isogenies of elliptic curves with complex multiplication

Soonhak Kwon

Abstract

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Let $E$ be an elliptic curve over $\mathbb C$ with complex multiplication. Suppose that $E$ is defined over $F=\mathbb Q(j(E))$. We study possible degrees of $F$--isogenies of $E$.

Keywords: isogeny, complex multiplication

MSC numbers: Primary 11G05; Secondary 11G15

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