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

• Label: 4160.2.iy
• Level: $4160$
• Weight: $2$
• Character orbit: 4160.iy
• Rep. character: $\chi_{4160}(951,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $1344$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$4160 = 2^{6} \cdot 5 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4160.iy (of order $24$ and degree $8$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$416$
Character field:			$\Q(\zeta_{24})$
Newform subspaces:			$0$
Sturm bound:			$1344$
Trace bound:			$0$

Dimensions

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

	Total	New	Old
Modular forms	5440	0	5440
Cusp forms	5312	0	5312
Eisenstein series	128	0	128

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

$S_{2}^{\mathrm{old}}(4160, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(416, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(2080, [\chi])$$^{\oplus 2}$