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

• Label: 3744.2.fw
• Level: $3744$
• Weight: $2$
• Character orbit: 3744.fw
• Rep. character: $\chi_{3744}(31,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $672$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3744 = 2^{5} \cdot 3^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3744.fw (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$468$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$1344$

Dimensions

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

	Total	New	Old
Modular forms	2752	672	2080
Cusp forms	2624	672	1952
Eisenstein series	128	0	128

Trace form

$672 q - 32 q^{57} + 32 q^{93}+O(q^{100})$

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}$