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

• Label: 8325.2.hd
• Level: $8325$
• Weight: $2$
• Character orbit: 8325.hd
• Rep. character: $\chi_{8325}(293,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $8160$
• Sturm bound: $2280$

Defining parameters

Level:	$N$	$=$	$8325 = 3^{2} \cdot 5^{2} \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	8325.hd (of order $36$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$1665$
Character field:			$\Q(\zeta_{36})$
Sturm bound:			$2280$

Dimensions

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

	Total	New	Old
Modular forms	13824	8256	5568
Cusp forms	13536	8160	5376
Eisenstein series	288	96	192

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}}(1665, [\chi])$$^{\oplus 2}$