Space of modular forms of level 5850, weight 2, and Character 5850.bh

• Label: 5850.2.bh
• Level: $5850$
• Weight: $2$
• Character orbit: 5850.bh
• Rep. character: $\chi_{5850}(2599,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $504$
• Sturm bound: $2520$

Defining parameters

Level:	$N$	$=$	$5850 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	5850.bh (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$585$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$2520$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(5850, [\chi])$.

	Total	New	Old
Modular forms	2568	504	2064
Cusp forms	2472	504	1968
Eisenstein series	96	0	96

Decomposition of $S_{2}^{\mathrm{new}}(5850, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(5850, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(5850, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(585, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1170, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2925, [\chi])$$^{\oplus 2}$