Space of modular forms of level 4032, weight 2, and Character 4032.gb

• Label: 4032.2.gb
• Level: $4032$
• Weight: $2$
• Character orbit: 4032.gb
• Rep. character: $\chi_{4032}(361,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $1536$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$4032 = 2^{6} \cdot 3^{2} \cdot 7$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4032.gb (of order $24$ and degree $8$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$224$
Character field:			$\Q(\zeta_{24})$
Newform subspaces:			$0$
Sturm bound:			$1536$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4032, [\chi])$.

	Total	New	Old
Modular forms	6272	0	6272
Cusp forms	6016	0	6016
Eisenstein series	256	0	256

Decomposition of $S_{2}^{\mathrm{old}}(4032, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4032, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(224, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(672, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(2016, [\chi])$$^{\oplus 2}$