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On the field of definition for modularity of CM elliptic curves
Authors:Naoki Murabayashi
Affiliation:Department of Mathematical Sciences, Faculty of Science, Yamagata University, Yamagata, 990-8560, Japan
Abstract:The purpose of this paper is to decide the conditions under which a CM elliptic curve is modular over its field of definition.
Keywords:Field of definition   Modularity   Complex multiplication   Elliptic curve
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