Space of modular forms of level 4650, weight 2, and Character 4650.fn

• Label: 4650.2.fn
• Level: $4650$
• Weight: $2$
• Character orbit: 4650.fn
• Rep. character: $\chi_{4650}(119,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $2560$
• Sturm bound: $1920$

Defining parameters

Level:	$N$	$=$	$4650 = 2 \cdot 3 \cdot 5^{2} \cdot 31$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4650.fn (of order $30$ and degree $8$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$2325$
Character field:			$\Q(\zeta_{30})$
Sturm bound:			$1920$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4650, [\chi])$.

	Total	New	Old
Modular forms	7744	2560	5184
Cusp forms	7616	2560	5056
Eisenstein series	128	0	128

Decomposition of $S_{2}^{\mathrm{new}}(4650, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(4650, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4650, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(2325, [\chi])$$^{\oplus 2}$