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[parent] examples of elliptic curves with complex multiplication (Example)

Here we show some elliptic curves defined over $ \mathbb{Q}$ which have complex multiplication by a quadratic imaginary field $ K$ of class number $ 1$ (with $ \operatorname{End}(E)$ exactly isomorphic to the full ring of integers $ \mathcal{O}_K$).



"examples of elliptic curves with complex multiplication" is owned by alozano.
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See Also: the arithmetic of elliptic curves


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Cross-references: curve, ring of integers, isomorphic, class number, quadratic imaginary field, complex multiplication, elliptic curves
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This is version 1 of examples of elliptic curves with complex multiplication, born on 2004-05-26.
Object id is 5872, canonical name is ExamplesOfEllipticCurvesWithComplexMultiplication.
Accessed 2866 times total.

Classification:
AMS MSC11G05 (Number theory :: Arithmetic algebraic geometry :: Elliptic curves over global fields)

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