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

• Label: 4160.2.gc
• Level: $4160$
• Weight: $2$
• Character orbit: 4160.gc
• Rep. character: $\chi_{4160}(33,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $672$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$4160 = 2^{6} \cdot 5 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4160.gc (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$520$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$1344$

Dimensions

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

	Total	New	Old
Modular forms	2784	672	2112
Cusp forms	2592	672	1920
Eisenstein series	192	0	192

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}}(520, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(2080, [\chi])$$^{\oplus 2}$