Space of modular forms of level 1792, weight 1, and Character 1792.g

• Label: 1792.1.g
• Level: $1792$
• Weight: $1$
• Character orbit: 1792.g
• Rep. character: $\chi_{1792}(127,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $256$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$1792 = 2^{8} \cdot 7$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	1792.g (of order $2$ and degree $1$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$8$
Character field:			$\Q$
Newform subspaces:			$0$
Sturm bound:			$256$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(1792, [\chi])$.

	Total	New	Old
Modular forms	28	0	28
Cusp forms	4	0	4
Eisenstein series	24	0	24

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

Decomposition of $S_{1}^{\mathrm{old}}(1792, [\chi])$ into lower level spaces

$S_{1}^{\mathrm{old}}(1792, [\chi]) \simeq$ $S_{1}^{\mathrm{new}}(128, [\chi])$$^{\oplus 4}$