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11
votes
Accepted
Elliptic Curves with CM and Class Field Theory
In fact Shimura handled the case of an abelian variety $A$ with complex multiplication by an order $O$ inside the maximal order $O_K$ of the CM field $K$.
A very good modern reference is the following …
3
votes
Elliptic Curves with CM and Class Field Theory
Now as for an intuitive explanation concerning Pete Clark's question:
I would be interested in, at least, a reference for the fact that
K(j(E),h(E[N])) contains the N-ray class field of K for ar …