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

• Label: 3528.2.i
• Level: $3528$
• Weight: $2$
• Character orbit: 3528.i
• Rep. character: $\chi_{3528}(2645,\cdot)$
• Character field: $\Q$
• Dimension: $160$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3528 = 2^{3} \cdot 3^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3528.i (of order $2$ and degree $1$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$168$
Character field:			$\Q$
Sturm bound:			$1344$

Dimensions

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

	Total	New	Old
Modular forms	704	160	544
Cusp forms	640	160	480
Eisenstein series	64	0	64

Trace form

$160 q + 8 q^{16} - 32 q^{22} - 160 q^{25} + 48 q^{46} - 24 q^{58} - 120 q^{64} + 32 q^{79} + 104 q^{88}+O(q^{100})$

Decomposition of $S_{2}^{\mathrm{new}}(3528, [\chi])$ into newform subspaces

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

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

$S_{2}^{\mathrm{old}}(3528, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(168, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(504, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(1176, [\chi])$$^{\oplus 2}$