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

• Label: 5733.2.l
• Level: $5733$
• Weight: $2$
• Character orbit: 5733.l
• Rep. character: $\chi_{5733}(373,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $1104$
• Sturm bound: $1568$

Defining parameters

Level:	$N$	$=$	$5733 = 3^{2} \cdot 7^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	5733.l (of order $3$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$819$
Character field:			$\Q(\zeta_{3})$
Sturm bound:			$1568$

Dimensions

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

	Total	New	Old
Modular forms	1600	1136	464
Cusp forms	1536	1104	432
Eisenstein series	64	32	32

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}}(819, [\chi])$$^{\oplus 2}$