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

• Label: 4368.2.do
• Level: $4368$
• Weight: $2$
• Character orbit: 4368.do
• Rep. character: $\chi_{4368}(673,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $168$
• Sturm bound: $1792$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	1840	168	1672
Cusp forms	1744	168	1576
Eisenstein series	96	0	96

Decomposition of $S_{2}^{\mathrm{new}}(4368, [\chi])$ into newform subspaces

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

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

$S_{2}^{\mathrm{old}}(4368, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(13, [\chi])$$^{\oplus 20}$$\oplus$$S_{2}^{\mathrm{new}}(39, [\chi])$$^{\oplus 10}$$\oplus$$S_{2}^{\mathrm{new}}(52, [\chi])$$^{\oplus 12}$$\oplus$$S_{2}^{\mathrm{new}}(78, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(91, [\chi])$$^{\oplus 10}$$\oplus$$S_{2}^{\mathrm{new}}(104, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(156, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(182, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(208, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(273, [\chi])$$^{\oplus 5}$$\oplus$$S_{2}^{\mathrm{new}}(312, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(364, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(546, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(624, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(728, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1092, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1456, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2184, [\chi])$$^{\oplus 2}$