Space of modular forms of level 5733, weight 2, and Character 5733.g

• Label: 5733.2.g
• Level: $5733$
• Weight: $2$
• Character orbit: 5733.g
• Rep. character: $\chi_{5733}(5732,\cdot)$
• Character field: $\Q$
• Dimension: $184$
• Sturm bound: $1568$

Defining parameters

Level:	$N$	$=$	$5733 = 3^{2} \cdot 7^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	5733.g (of order $2$ and degree $1$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$273$
Character field:			$\Q$
Sturm bound:			$1568$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(5733, [\chi])$.

	Total	New	Old
Modular forms	816	184	632
Cusp forms	752	184	568
Eisenstein series	64	0	64

Decomposition of $S_{2}^{\mathrm{new}}(5733, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(5733, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(5733, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(273, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(819, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(1911, [\chi])$$^{\oplus 2}$