Space of modular forms of level 8325, weight 2, and Character 8325.cn

• Label: 8325.2.cn
• Level: $8325$
• Weight: $2$
• Character orbit: 8325.cn
• Rep. character: $\chi_{8325}(82,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1132$
• Sturm bound: $2280$

Defining parameters

Level:	$N$	$=$	$8325 = 3^{2} \cdot 5^{2} \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	8325.cn (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$185$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$2280$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(8325, [\chi])$.

	Total	New	Old
Modular forms	4656	1148	3508
Cusp forms	4464	1132	3332
Eisenstein series	192	16	176

Decomposition of $S_{2}^{\mathrm{new}}(8325, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(8325, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(8325, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(185, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(555, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(925, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1665, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2775, [\chi])$$^{\oplus 2}$