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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**Knowl status:**

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

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**History:**(expand/hide all)

- 2019-05-02 02:36:16 by Andrew Sutherland (Reviewed)
- 2019-05-01 22:40:33 by Andrew Sutherland
- 2019-05-01 22:39:47 by Andrew Sutherland
- 2019-05-01 22:39:28 by Andrew Sutherland
- 2019-04-30 09:17:46 by Andrew Sutherland
- 2019-04-30 09:16:28 by Andrew Sutherland
- 2019-04-29 09:36:27 by David Farmer (Reviewed)
- 2019-03-13 18:41:15 by Andrew Sutherland
- 2019-01-24 06:28:17 by Andrew Sutherland

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