Space of modular forms of level 9576, weight 2, and Character 9576.so

• Label: 9576.2.so
• Level: $9576$
• Weight: $2$
• Character orbit: 9576.so
• Rep. character: $\chi_{9576}(395,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $3840$
• Sturm bound: $3840$

Defining parameters

Level:	$N$	$=$	$9576 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	9576.so (of order $18$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$3192$
Character field:			$\Q(\zeta_{18})$
Sturm bound:			$3840$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(9576, [\chi])$.

	Total	New	Old
Modular forms	11616	3840	7776
Cusp forms	11424	3840	7584
Eisenstein series	192	0	192

Decomposition of $S_{2}^{\mathrm{new}}(9576, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(9576, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(9576, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(3192, [\chi])$$^{\oplus 2}$