Space of modular forms of level 3528, weight 2, and Character 3528.cp

• Label: 3528.2.cp
• Level: $3528$
• Weight: $2$
• Character orbit: 3528.cp
• Rep. character: $\chi_{3528}(391,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $1344$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$3528 = 2^{3} \cdot 3^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3528.cp (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$252$
Character field:			$\Q(\zeta_{6})$
Newform subspaces:			$0$
Sturm bound:			$1344$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3528, [\chi])$.

	Total	New	Old
Modular forms	1408	0	1408
Cusp forms	1280	0	1280
Eisenstein series	128	0	128

Decomposition of $S_{2}^{\mathrm{old}}(3528, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(3528, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(252, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1764, [\chi])$$^{\oplus 2}$