Space of modular forms of level 4212, weight 2, and Character 4212.de

• Label: 4212.2.de
• Level: $4212$
• Weight: $2$
• Character orbit: 4212.de
• Rep. character: $\chi_{4212}(829,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $252$
• Sturm bound: $1512$

Defining parameters

Level:	$N$	$=$	$4212 = 2^{2} \cdot 3^{4} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4212.de (of order $18$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$351$
Character field:			$\Q(\zeta_{18})$
Sturm bound:			$1512$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4212, [\chi])$.

	Total	New	Old
Modular forms	4644	252	4392
Cusp forms	4428	252	4176
Eisenstein series	216	0	216

Decomposition of $S_{2}^{\mathrm{new}}(4212, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(4212, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4212, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(351, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(702, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1053, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1404, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2106, [\chi])$$^{\oplus 2}$