# Questions tagged [complex-multiplication]

The theory of elliptic curves with large endomorphism rings. For questions on multiplication of complex numbers, use (complex-numbers) instead.

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### CM Abelian surface with prescribed CM field

The number field $E=\mathbb Q(\sqrt{\sqrt{2}-3})$ is a CM-field since it is a totally imaginary extension of the totally real field $\mathbb Q(\sqrt 2)$. Is there a way to construct an abelian ...
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### Abelian extension over imaginary quadratic field

Notation: For a finite abelian extension $F / K$, let $\mathfrak{f}_{F / K} \subset \mathcal{O}_K$ denotes its conductor such that $F$ is contained in the ray class field $K(\mathfrak{f})$. In ...
• 739
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### six times is approx one times? huh?

So I'm discussing the number of atoms in the universe with a nice chap, but we can't seem to agree. Google told me the answer to be 10^82. He says it's 6x10^82. He says the six isn't relevant with a ...
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### How to construct an elliptic curve with complex multiplication and class number not 1?

There is a theorem that guarantees that when the j invariant of the elliptic curve E is an algebraic integer, the elliptic curve E has a complex multiplication. But how to construct an elliptic curve ...
• 907
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### What is the result of (271698268*271698267)/2?

I need the answer in non-scientific form, to precision. The problem is I'm getting different results from different methods. Method Output Output (plain) Python ...
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