Space of modular forms of level 7448, weight 2, and Character 7448.de

• Label: 7448.2.de
• Level: $7448$
• Weight: $2$
• Character orbit: 7448.de
• Rep. character: $\chi_{7448}(177,\cdot)$
• Character field: $\Q(\zeta_{9})$
• Dimension: $1200$
• Sturm bound: $2240$

Defining parameters

Level:	$N$	$=$	$7448 = 2^{3} \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	7448.de (of order $9$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$133$
Character field:			$\Q(\zeta_{9})$
Sturm bound:			$2240$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(7448, [\chi])$.

	Total	New	Old
Modular forms	6912	1200	5712
Cusp forms	6528	1200	5328
Eisenstein series	384	0	384

Decomposition of $S_{2}^{\mathrm{new}}(7448, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(7448, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(7448, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(133, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(266, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(532, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(931, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1064, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(1862, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(3724, [\chi])$$^{\oplus 2}$