Space of modular forms of level 3762, weight 2, and Character 3762.cu

• Label: 3762.2.cu
• Level: $3762$
• Weight: $2$
• Character orbit: 3762.cu
• Rep. character: $\chi_{3762}(131,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1440$
• Sturm bound: $1440$

Defining parameters

Level:	$N$	$=$	$3762 = 2 \cdot 3^{2} \cdot 11 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3762.cu (of order $18$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$1881$
Character field:			$\Q(\zeta_{18})$
Sturm bound:			$1440$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3762, [\chi])$.

	Total	New	Old
Modular forms	4368	1440	2928
Cusp forms	4272	1440	2832
Eisenstein series	96	0	96

Trace form

1440 * q - 12 * q^3 + 12 * q^9 - 9 * q^22 - 6 * q^27 - 60 * q^33 + 12 * q^36 + 36 * q^45 + 6 * q^48 + 720 * q^49 + 180 * q^59 - 720 * q^64 - 21 * q^66 - 36 * q^67 - 72 * q^69 - 132 * q^81 + 18 * q^82 - 60 * q^93 + 36 * q^97 - 39 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(3762, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(3762, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(3762, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(1881, [\chi])$$^{\oplus 2}$