Models of CM elliptic curves with a prescribed -adic Galois image

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Abstract

For each prime number and for each imaginary quadratic order of class number one or two, we determine all the possible -adic Galois representations that occur for any elliptic curve with complex multiplication by such an order over its minimal field of definition, and then we determine all the isomorphism classes of elliptic curves that have a prescribed -adic Galois representation.

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Cite This Study

González–Jiménez et al. (Wed,) studied this question.

synapsesocial.com/papers/68e5d358b6db643587569b5e https://doi.org/https://doi.org/10.48550/arxiv.2408.04159

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