Space of modular forms of level 336, weight 4, and Character 336.bd

• Label: 336.4.bd
• Level: $336$
• Weight: $4$
• Character orbit: 336.bd
• Rep. character: $\chi_{336}(23,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $256$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$336 = 2^{4} \cdot 3 \cdot 7$
Weight:	$k$	$=$	$4$
Character orbit:	$[\chi]$	$=$	336.bd (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$168$
Character field:			$\Q(\zeta_{6})$
Newform subspaces:			$0$
Sturm bound:			$256$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{4}(336, [\chi])$.

	Total	New	Old
Modular forms	400	0	400
Cusp forms	368	0	368
Eisenstein series	32	0	32

Decomposition of $S_{4}^{\mathrm{old}}(336, [\chi])$ into lower level spaces

$S_{4}^{\mathrm{old}}(336, [\chi]) \simeq$ $S_{4}^{\mathrm{new}}(168, [\chi])$$^{\oplus 2}$