Space of modular forms of level 3744, weight 2, and Character 3744.cu

• Label: 3744.2.cu
• Level: $3744$
• Weight: $2$
• Character orbit: 3744.cu
• Rep. character: $\chi_{3744}(959,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $336$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3744 = 2^{5} \cdot 3^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3744.cu (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$468$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$1344$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3744, [\chi])$.

	Total	New	Old
Modular forms	1376	336	1040
Cusp forms	1312	336	976
Eisenstein series	64	0	64

Trace form

$336 q - 168 q^{25} + 336 q^{49} - 48 q^{57} - 48 q^{65} + 16 q^{69} + 48 q^{77} + 16 q^{81}+O(q^{100})$

Decomposition of $S_{2}^{\mathrm{new}}(3744, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(3744, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(3744, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(468, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1872, [\chi])$$^{\oplus 2}$