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

• Label: 4160.2.ju
• Level: $4160$
• Weight: $2$
• Character orbit: 4160.ju
• Rep. character: $\chi_{4160}(171,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $7168$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$4160 = 2^{6} \cdot 5 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4160.ju (of order $48$ and degree $16$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$832$
Character field:			$\Q(\zeta_{48})$
Sturm bound:			$1344$

Dimensions

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

	Total	New	Old
Modular forms	10816	7168	3648
Cusp forms	10688	7168	3520
Eisenstein series	128	0	128

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}}(832, [\chi])$$^{\oplus 2}$