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

• Label: 3762.2.bn
• Level: $3762$
• Weight: $2$
• Character orbit: 3762.bn
• Rep. character: $\chi_{3762}(373,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $480$
• Sturm bound: $1440$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	1456	480	976
Cusp forms	1424	480	944
Eisenstein series	32	0	32

Trace form

480 * q - 6 * q^3 - 240 * q^4 + 2 * q^9 + q^11 - 240 * q^16 + 480 * q^25 - 3 * q^33 + 2 * q^36 + 10 * q^38 + 32 * q^42 + q^44 - 64 * q^45 - 48 * q^47 + 6 * q^48 + 240 * q^49 + 480 * q^64 - 21 * q^66 - 18 * q^67 + 48 * q^69 + 54 * q^75 + 12 * q^77 + 50 * q^81 + 6 * q^82 - 9 * q^88 + 52 * q^93 + 18 * q^97 + 24 * 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}$