Space of modular forms of level 3441, weight 1, and Character 3441.gk

• Label: 3441.1.gk
• Level: $3441$
• Weight: $1$
• Character orbit: 3441.gk
• Rep. character: $\chi_{3441}(58,\cdot)$
• Character field: $\Q(\zeta_{90})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $405$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$3441 = 3 \cdot 31 \cdot 37$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	3441.gk (of order $90$ and degree $24$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$1147$
Character field:			$\Q(\zeta_{90})$
Newform subspaces:			$0$
Sturm bound:			$405$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(3441, [\chi])$.

	Total	New	Old
Modular forms	96	0	96
Cusp forms	0	0	0
Eisenstein series	96	0	96

The following table gives the dimensions of subspaces with specified projective image type.

	$D_n$	$A_4$	$S_4$	$A_5$
Dimension	0	0	0	0