Conversely, every odd irreducible two-dimensional Artin representation of conductor $N$ gives rise to a modular form of weight one and level $N$.
Composing the representation $\rho$ with the natural map $\GL_2(\C)\to \PGL_2(\C)$ yields the projective Galois representation $\bar\rho\colon \Gal(\overline\Q/\Q)\to \PGL_2(\C)$.
- Review status: reviewed
- Last edited by Alex J. Best on 2018-12-09 20:08:32
- 2018-12-09 20:08:32 by Alex J. Best (Reviewed)