The **dual** of a cuspidal modular form $f$ is the form whose coefficients $a_n$ in its $q$-expansion are the complex conjugates of those of $f$. The L-function of the dual form is the dual of the L-function of $f$.

The coefficient field of a non-self-dual newform is a CM field.

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- Last edited by Andrew Sutherland on 2019-03-13 18:40:12

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