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

• Label: 4032.2.du
• Level: $4032$
• Weight: $2$
• Character orbit: 4032.du
• Rep. character: $\chi_{4032}(239,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $576$
• Sturm bound: $1536$

Defining parameters

Level:	$N$	$=$	$4032 = 2^{6} \cdot 3^{2} \cdot 7$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4032.du (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$144$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$1536$

Dimensions

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

	Total	New	Old
Modular forms	3136	576	2560
Cusp forms	3008	576	2432
Eisenstein series	128	0	128

Decomposition of $S_{2}^{\mathrm{new}}(4032, [\chi])$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

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

$S_{2}^{\mathrm{old}}(4032, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(144, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(576, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(1008, [\chi])$$^{\oplus 3}$