The **Artin field** of a weight one newform is the number field fixed by the kernel of its associated Galois representation $\rho\colon \Gal(\overline\Q/\Q)\to \GL_2(\C)$.

This number field is typically identified as the Galois closure of a sibling subfield with minimal degree and absolute discriminant.

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- Last edited by Alex J. Best on 2018-12-09 20:09:10

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- 2018-12-09 20:09:10 by Alex J. Best (Reviewed)