It is possible for a newform $f$ to admit an inner twist by more than one Dirichlet character $\varphi$ in the same Galois orbit. Different embeddings of $f$ into $\C$ will yield different $\varphi$, but the number of such $\varphi$ is the same for every embedding; this number is the multiplicity.
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- Last edited by Andrew Sutherland on 2018-12-13 17:22:30
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- 2018-12-13 17:22:30 by Andrew Sutherland (Reviewed)