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

• Label: 5850.2.do
• Level: $5850$
• Weight: $2$
• Character orbit: 5850.do
• Rep. character: $\chi_{5850}(443,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $864$
• Sturm bound: $2520$

Defining parameters

Level:	$N$	$=$	$5850 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	5850.do (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$45$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$2520$

Dimensions

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

	Total	New	Old
Modular forms	5136	864	4272
Cusp forms	4944	864	4080
Eisenstein series	192	0	192

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}}(45, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(90, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(225, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(450, [\chi])$$^{\oplus 2}$$\oplus$$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}$