Space of modular forms of level 912, weight 6, and Character 912.g

• Label: 912.6.g
• Level: $912$
• Weight: $6$
• Character orbit: 912.g
• Rep. character: $\chi_{912}(457,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $960$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$912 = 2^{4} \cdot 3 \cdot 19$
Weight:	$k$	$=$	$6$
Character orbit:	$[\chi]$	$=$	912.g (of order $2$ and degree $1$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$8$
Character field:			$\Q$
Newform subspaces:			$0$
Sturm bound:			$960$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{6}(912, [\chi])$.

	Total	New	Old
Modular forms	808	0	808
Cusp forms	792	0	792
Eisenstein series	16	0	16

Decomposition of $S_{6}^{\mathrm{old}}(912, [\chi])$ into lower level spaces

$S_{6}^{\mathrm{old}}(912, [\chi]) \simeq$ $S_{6}^{\mathrm{new}}(8, [\chi])$$^{\oplus 8}$$\oplus$$S_{6}^{\mathrm{new}}(24, [\chi])$$^{\oplus 4}$$\oplus$$S_{6}^{\mathrm{new}}(152, [\chi])$$^{\oplus 4}$$\oplus$$S_{6}^{\mathrm{new}}(456, [\chi])$$^{\oplus 2}$