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

• Label: 4032.2.da
• Level: $4032$
• Weight: $2$
• Character orbit: 4032.da
• Rep. character: $\chi_{4032}(673,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $288$
• Sturm bound: $1536$

Defining parameters

Level:	$N$	$=$	$4032 = 2^{6} \cdot 3^{2} \cdot 7$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4032.da (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$72$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$1536$

Dimensions

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

	Total	New	Old
Modular forms	1584	288	1296
Cusp forms	1488	288	1200
Eisenstein series	96	0	96

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}}(72, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(288, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(504, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(576, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2016, [\chi])$$^{\oplus 2}$