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

• Label: 4368.2.mq
• Level: $4368$
• Weight: $2$
• Character orbit: 4368.mq
• Rep. character: $\chi_{4368}(167,\cdot)$
• Character field: $\Q(\zeta_{12})$
• 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.mq (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$2184$
Character field:			$\Q(\zeta_{12})$
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	3648	0	3648
Cusp forms	3520	0	3520
Eisenstein series	128	0	128

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

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