Space of modular forms of level 9576, weight 2, and Character 9576.mk

• Label: 9576.2.mk
• Level: $9576$
• Weight: $2$
• Character orbit: 9576.mk
• Rep. character: $\chi_{9576}(1711,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $3840$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$9576 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	9576.mk (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$28$
Character field:			$\Q(\zeta_{6})$
Newform subspaces:			$0$
Sturm bound:			$3840$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(9576, [\chi])$.

	Total	New	Old
Modular forms	3904	0	3904
Cusp forms	3776	0	3776
Eisenstein series	128	0	128

Decomposition of $S_{2}^{\mathrm{old}}(9576, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(9576, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(28, [\chi])$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(84, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(252, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(532, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(1596, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(4788, [\chi])$$^{\oplus 2}$