Space of modular forms of level 800, weight 1, and Character 800.bv

• Label: 800.1.bv
• Level: $800$
• Weight: $1$
• Character orbit: 800.bv
• Rep. character: $\chi_{800}(73,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $120$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$800 = 2^{5} \cdot 5^{2}$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	800.bv (of order $20$ and degree $8$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$400$
Character field:			$\Q(\zeta_{20})$
Newform subspaces:			$0$
Sturm bound:			$120$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(800, [\chi])$.

	Total	New	Old
Modular forms	32	0	32
Cusp forms	0	0	0
Eisenstein series	32	0	32

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