Space of modular forms of level 4160, weight 2, and Character 4160.bj

• Label: 4160.2.bj
• Level: $4160$
• Weight: $2$
• Character orbit: 4160.bj
• Rep. character: $\chi_{4160}(1041,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $192$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$4160 = 2^{6} \cdot 5 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4160.bj (of order $4$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$16$
Character field:			$\Q(i)$
Sturm bound:			$1344$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4160, [\chi])$.

	Total	New	Old
Modular forms	1376	192	1184
Cusp forms	1312	192	1120
Eisenstein series	64	0	64

Decomposition of $S_{2}^{\mathrm{new}}(4160, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(4160, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4160, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(16, [\chi])$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(64, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(80, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(208, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(320, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(832, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(1040, [\chi])$$^{\oplus 3}$