Space of modular forms of level 11280, weight 2, and Character 11280.gb

• Label: 11280.2.gb
• Level: $11280$
• Weight: $2$
• Character orbit: 11280.gb
• Rep. character: $\chi_{11280}(19,\cdot)$
• Character field: $\Q(\zeta_{92})$
• Dimension: $50688$
• Sturm bound: $4608$

Defining parameters

Level:	$N$	$=$	$11280 = 2^{4} \cdot 3 \cdot 5 \cdot 47$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	11280.gb (of order $92$ and degree $44$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$3760$
Character field:			$\Q(\zeta_{92})$
Sturm bound:			$4608$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(11280, [\chi])$.

	Total	New	Old
Modular forms	101728	50688	51040
Cusp forms	101024	50688	50336
Eisenstein series	704	0	704

Decomposition of $S_{2}^{\mathrm{new}}(11280, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(11280, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(11280, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(3760, [\chi])$$^{\oplus 2}$