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

• Label: 4788.2.ml
• Level: $4788$
• Weight: $2$
• Character orbit: 4788.ml
• Rep. character: $\chi_{4788}(1541,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $720$
• Sturm bound: $1920$

Defining parameters

Level:	$N$	$=$	$4788 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4788.ml (of order $18$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$171$
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	5832	720	5112
Cusp forms	5688	720	4968
Eisenstein series	144	0	144

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}}(171, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(342, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(684, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(1197, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(2394, [\chi])$$^{\oplus 2}$