Space of modular forms of level 7335, weight 2, and Character 7335.g

• Label: 7335.2.g
• Level: $7335$
• Weight: $2$
• Character orbit: 7335.g
• Rep. character: $\chi_{7335}(1466,\cdot)$
• Character field: $\Q$
• Dimension: $216$
• Sturm bound: $1968$

Defining parameters

Level:	$N$	$=$	$7335 = 3^{2} \cdot 5 \cdot 163$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	7335.g (of order $2$ and degree $1$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$489$
Character field:			$\Q$
Sturm bound:			$1968$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(7335, [\chi])$.

	Total	New	Old
Modular forms	992	216	776
Cusp forms	976	216	760
Eisenstein series	16	0	16

Decomposition of $S_{2}^{\mathrm{new}}(7335, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(7335, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(7335, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(489, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1467, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2445, [\chi])$$^{\oplus 2}$