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

• Label: 5733.2.ln
• Level: $5733$
• Weight: $2$
• Character orbit: 5733.ln
• Rep. character: $\chi_{5733}(71,\cdot)$
• Character field: $\Q(\zeta_{84})$
• Dimension: $6240$
• Sturm bound: $1568$

Defining parameters

Level:	$N$	$=$	$5733 = 3^{2} \cdot 7^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	5733.ln (of order $84$ and degree $24$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$1911$
Character field:			$\Q(\zeta_{84})$
Sturm bound:			$1568$

Dimensions

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

	Total	New	Old
Modular forms	19008	6240	12768
Cusp forms	18624	6240	12384
Eisenstein series	384	0	384

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}}(1911, [\chi])$$^{\oplus 2}$