Space of modular forms of level 4655, weight 2, and Character 4655.cw

• Label: 4655.2.cw
• Level: $4655$
• Weight: $2$
• Character orbit: 4655.cw
• Rep. character: $\chi_{4655}(509,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $2352$
• Sturm bound: $1120$

Defining parameters

Level:	$N$	$=$	$4655 = 5 \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4655.cw (of order $18$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$665$
Character field:			$\Q(\zeta_{18})$
Sturm bound:			$1120$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4655, [\chi])$.

	Total	New	Old
Modular forms	3456	2448	1008
Cusp forms	3264	2352	912
Eisenstein series	192	96	96

Decomposition of $S_{2}^{\mathrm{new}}(4655, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(4655, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4655, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(665, [\chi])$$^{\oplus 2}$