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

• Label: 7448.2.fw
• Level: $7448$
• Weight: $2$
• Character orbit: 7448.fw
• Rep. character: $\chi_{7448}(487,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $2240$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$7448 = 2^{3} \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	7448.fw (of order $42$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$3724$
Character field:			$\Q(\zeta_{42})$
Newform subspaces:			$0$
Sturm bound:			$2240$
Trace bound:			$0$

Dimensions

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

	Total	New	Old
Modular forms	13536	0	13536
Cusp forms	13344	0	13344
Eisenstein series	192	0	192

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

$S_{2}^{\mathrm{old}}(7448, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(3724, [\chi])$$^{\oplus 2}$