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The projective field of a weight one newform is the number field fixed by the kernel of its associated projective Galois representation $\bar\rho\colon \Gal(\overline\Q/\Q)\to \PGL_2(\C)$.

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

Knowl status:
  • Review status: reviewed
  • Last edited by David Farmer on 2019-04-29 10:38:05
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