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

• Label: 8800.2.c
• Level: $8800$
• Weight: $2$
• Character orbit: 8800.c
• Rep. character: $\chi_{8800}(4399,\cdot)$
• Character field: $\Q$
• Dimension: $212$
• Sturm bound: $2880$

Defining parameters

Level:	$N$	$=$	$8800 = 2^{5} \cdot 5^{2} \cdot 11$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	8800.c (of order $2$ and degree $1$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$440$
Character field:			$\Q$
Sturm bound:			$2880$

Dimensions

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

	Total	New	Old
Modular forms	1488	220	1268
Cusp forms	1392	212	1180
Eisenstein series	96	8	88

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}}(440, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(1760, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2200, [\chi])$$^{\oplus 3}$