Space of modular forms of level 7360, weight 2, and Character 7360.ci

• Label: 7360.2.ci
• Level: $7360$
• Weight: $2$
• Character orbit: 7360.ci
• Rep. character: $\chi_{7360}(1243,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $8448$
• Sturm bound: $2304$

Defining parameters

Level:	$N$	$=$	$7360 = 2^{6} \cdot 5 \cdot 23$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	7360.ci (of order $16$ and degree $8$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$320$
Character field:			$\Q(\zeta_{16})$
Sturm bound:			$2304$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(7360, [\chi])$.

	Total	New	Old
Modular forms	9248	8448	800
Cusp forms	9184	8448	736
Eisenstein series	64	0	64

Decomposition of $S_{2}^{\mathrm{new}}(7360, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(7360, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(7360, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(320, [\chi])$$^{\oplus 2}$