Space of modular forms of level 5, weight 4, and Character 5.b

• Label: 5.4.b
• Level: $5$
• Weight: $4$
• Character orbit: 5.b
• Rep. character: $\chi_{5}(4,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $2$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$5$
Weight:	$k$	$=$	$4$
Character orbit:	$[\chi]$	$=$	5.b (of order $2$ and degree $1$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$5$
Character field:			$\Q$
Newform subspaces:			$0$
Sturm bound:			$2$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{4}(5, [\chi])$.

	Total	New	Old
Modular forms	2	2	0
Cusp forms	0	0	0
Eisenstein series	2	2	0