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

• Label: 3744.2.cz
• Level: $3744$
• Weight: $2$
• Character orbit: 3744.cz
• Rep. character: $\chi_{3744}(1777,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $328$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3744 = 2^{5} \cdot 3^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3744.cz (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$936$
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	344	1032
Cusp forms	1312	328	984
Eisenstein series	64	16	48

Trace form

328 * q - 2 * q^7 - 2 * q^9 + 14 * q^15 - 4 * q^17 + 22 * q^23 + 144 * q^25 + 4 * q^31 + 22 * q^33 - 2 * q^39 + 2 * q^41 + 4 * q^47 - 138 * q^49 + 14 * q^55 - 20 * q^57 - 26 * q^63 - 22 * q^65 + 4 * q^71 - 16 * q^73 + 4 * q^79 - 2 * q^81 - 34 * q^87 - 4 * q^89 + 112 * q^95 + 2 * q^97

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}}(936, [\chi])$$^{\oplus 3}$