Space of modular forms of level 8800, weight 2, and Character 8800.nn

• Label: 8800.2.nn
• Level: $8800$
• Weight: $2$
• Character orbit: 8800.nn
• Rep. character: $\chi_{8800}(301,\cdot)$
• Character field: $\Q(\zeta_{40})$
• Dimension: $14496$
• Sturm bound: $2880$

Defining parameters

Level:	$N$	$=$	$8800 = 2^{5} \cdot 5^{2} \cdot 11$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	8800.nn (of order $40$ and degree $16$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$352$
Character field:			$\Q(\zeta_{40})$
Sturm bound:			$2880$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(8800, [\chi])$.

	Total	New	Old
Modular forms	23232	14688	8544
Cusp forms	22848	14496	8352
Eisenstein series	384	192	192

Decomposition of $S_{2}^{\mathrm{new}}(8800, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(8800, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(8800, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(352, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1760, [\chi])$$^{\oplus 2}$