Space of modular forms of level 345, weight 1, and Character 345.q

• Label: 345.1.q
• Level: $345$
• Weight: $1$
• Character orbit: 345.q
• Rep. character: $\chi_{345}(26,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $48$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$345 = 3 \cdot 5 \cdot 23$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	345.q (of order $22$ and degree $10$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$69$
Character field:			$\Q(\zeta_{22})$
Newform subspaces:			$0$
Sturm bound:			$48$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(345, [\chi])$.

	Total	New	Old
Modular forms	40	0	40
Cusp forms	0	0	0
Eisenstein series	40	0	40

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