Space of modular forms of level 3380, weight 1, and Character 3380.da

• Label: 3380.1.da
• Level: $3380$
• Weight: $1$
• Character orbit: 3380.da
• Rep. character: $\chi_{3380}(41,\cdot)$
• Character field: $\Q(\zeta_{156})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $546$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$3380 = 2^{2} \cdot 5 \cdot 13^{2}$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	3380.da (of order $156$ and degree $48$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$169$
Character field:			$\Q(\zeta_{156})$
Newform subspaces:			$0$
Sturm bound:			$546$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(3380, [\chi])$.

	Total	New	Old
Modular forms	288	0	288
Cusp forms	0	0	0
Eisenstein series	288	0	288

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