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

• Label: 7448.2.gp
• Level: $7448$
• Weight: $2$
• Character orbit: 7448.gp
• Rep. character: $\chi_{7448}(115,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $12096$
• Sturm bound: $2240$

Defining parameters

Level:	$N$	$=$	$7448 = 2^{3} \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	7448.gp (of order $42$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$392$
Character field:			$\Q(\zeta_{42})$
Sturm bound:			$2240$

Dimensions

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

	Total	New	Old
Modular forms	13488	12096	1392
Cusp forms	13392	12096	1296
Eisenstein series	96	0	96

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}}(392, [\chi])$$^{\oplus 2}$