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Results tagged with elliptic-curves
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user 26737
An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varieties, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.
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 …
- 1,196
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 …
- 1,196