Space of modular forms of level 7225, weight 2, and Character 7225.q

• Label: 7225.2.q
• Level: $7225$
• Weight: $2$
• Character orbit: 7225.q
• Rep. character: $\chi_{7225}(1444,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $2640$
• Sturm bound: $1530$

Defining parameters

Level:	$N$	$=$	$7225 = 5^{2} \cdot 17^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	7225.q (of order $10$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$425$
Character field:			$\Q(\zeta_{10})$
Sturm bound:			$1530$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(7225, [\chi])$.

	Total	New	Old
Modular forms	3136	2752	384
Cusp forms	2992	2640	352
Eisenstein series	144	112	32

Decomposition of $S_{2}^{\mathrm{new}}(7225, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(7225, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(7225, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(425, [\chi])$$^{\oplus 2}$