Space of modular forms of level 4788, weight 2, and Character 4788.lu

• Label: 4788.2.lu
• Level: $4788$
• Weight: $2$
• Character orbit: 4788.lu
• Rep. character: $\chi_{4788}(485,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $324$
• Sturm bound: $1920$

Defining parameters

Level:	$N$	$=$	$4788 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4788.lu (of order $18$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$399$
Character field:			$\Q(\zeta_{18})$
Sturm bound:			$1920$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4788, [\chi])$.

	Total	New	Old
Modular forms	5904	324	5580
Cusp forms	5616	324	5292
Eisenstein series	288	0	288

Decomposition of $S_{2}^{\mathrm{new}}(4788, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(4788, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4788, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(399, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(798, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(1197, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1596, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(2394, [\chi])$$^{\oplus 2}$