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Results tagged with class-field-theory
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user 5267
3
votes
Class Field Theory for Imaginary Quadratic Fields
Magma is not facile here but works, but maybe SAGE can do the same. You get $K(j,E[3])/K$ to be a degree 12 and cyclic Galois group, for the $E$ I think you want.
> jrel:=PowerRelation(jInvariant((1+ …
- 2,704
8
votes
Accepted
Class Field Theory for Imaginary Quadratic Fields
Here is a case where it is non-Abelian. I use $K$ of class number 3. If I use the Gross curve, it is Abelian. If I twist in $Q(\sqrt{-15})$, it is Abelian for every one I tried, maybe because it is on …
- 2,704