Space of modular forms of level 3920, weight 2, and Character 3920.cr

• Label: 3920.2.cr
• Level: $3920$
• Weight: $2$
• Character orbit: 3920.cr
• Rep. character: $\chi_{3920}(411,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1280$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3920 = 2^{4} \cdot 5 \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3920.cr (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$112$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$1344$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3920, [\chi])$.

	Total	New	Old
Modular forms	2752	1280	1472
Cusp forms	2624	1280	1344
Eisenstein series	128	0	128

Trace form

1280 * q - 8 * q^4 + 16 * q^11 + 40 * q^16 - 60 * q^18 - 32 * q^22 - 32 * q^23 - 64 * q^29 - 20 * q^32 + 32 * q^37 + 32 * q^43 + 44 * q^44 + 20 * q^46 + 16 * q^50 - 40 * q^51 + 72 * q^52 + 32 * q^53 + 84 * q^54 - 12 * q^58 + 48 * q^59 + 28 * q^60 - 32 * q^64 + 192 * q^66 + 80 * q^67 + 60 * q^68 - 64 * q^71 - 72 * q^72 + 120 * q^74 - 48 * q^78 + 640 * q^81 - 112 * q^86 + 40 * q^88 + 192 * q^92 - 72 * q^94 + 204 * q^96 + 160 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(3920, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(3920, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(3920, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(112, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(560, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(784, [\chi])$$^{\oplus 2}$