The projective image of a weight one newform is the image of its associated projective Galois representation $\rho\colon \Gal(\overline\Q/\Q)\to \PGL_2(\C)$. It is a finite subgroup of $\PGL_2(\C)$ that can be classified as one of four types: It is either isomorphic to a dihedral group $D_n$ for some integer $n\ge 2$ (where $D_2:=C_2\times C_2$ is the Klein group), or to one of $A_4, S_4, A_5$, where $A_n$ and $S_n$ respectively denote the alternating and symmetric groups on $n$ letters.
Authors:
Knowl status:
- Review status: reviewed
- Last edited by Andrew Sutherland on 2019-01-28 14:00:04
Referred to by:
History:
(expand/hide all)
- cmf.124.1.i.a.top
- cmf.148.1.f.a.top
- cmf.1600.1.bd.bottom
- cmf.39.1.d.a.top
- cmf.633.1.m.b.top
- cmf.self_twist
- mf.ellitpic.self_twist
- rcs.cande.cmf
- rcs.rigor.cmf
- rcs.source.cmf
- lmfdb/classical_modular_forms/main.py (line 838)
- lmfdb/classical_modular_forms/main.py (line 1350)
- lmfdb/classical_modular_forms/main.py (line 1397)
- lmfdb/classical_modular_forms/main.py (line 1636)
- lmfdb/classical_modular_forms/main.py (line 1642)
- lmfdb/classical_modular_forms/templates/cmf_full_gamma1_space.html (line 79)
- lmfdb/classical_modular_forms/templates/cmf_full_gamma1_space.html (lines 85-88)
- lmfdb/classical_modular_forms/templates/cmf_newform_common.html (line 111)
- lmfdb/classical_modular_forms/templates/cmf_space.html (line 110)
- lmfdb/classical_modular_forms/templates/cmf_space.html (lines 116-119)
- 2019-01-28 14:00:04 by Andrew Sutherland (Reviewed)