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Inner twists that are self-twists arise either from the trivial character, or from the Kronecker character of a quadratic field $K$.

When $K$ is an imaginary quadratic field the newform is said to have complex multiplication (CM) by $K$, and when $K$ is a real quadratic field the newform is said to have real multiplication (RM) by $K$.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2019-05-02 02:36:16
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