Space of modular forms of level 4368, weight 2, and Character 4368.gr

• Label: 4368.2.gr
• Level: $4368$
• Weight: $2$
• Character orbit: 4368.gr
• Rep. character: $\chi_{4368}(2809,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $1792$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$4368 = 2^{4} \cdot 3 \cdot 7 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4368.gr (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$56$
Character field:			$\Q(\zeta_{6})$
Newform subspaces:			$0$
Sturm bound:			$1792$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4368, [\chi])$.

	Total	New	Old
Modular forms	1824	0	1824
Cusp forms	1760	0	1760
Eisenstein series	64	0	64

Decomposition of $S_{2}^{\mathrm{old}}(4368, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4368, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(56, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(168, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(728, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(2184, [\chi])$$^{\oplus 2}$