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

• Label: 4655.2.hb
• Level: $4655$
• Weight: $2$
• Character orbit: 4655.hb
• Rep. character: $\chi_{4655}(138,\cdot)$
• Character field: $\Q(\zeta_{252})$
• Dimension: $40032$
• Sturm bound: $1120$

Defining parameters

Level:	$N$	$=$	$4655 = 5 \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4655.hb (of order $252$ and degree $72$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$4655$
Character field:			$\Q(\zeta_{252})$
Sturm bound:			$1120$

Dimensions

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

	Total	New	Old
Modular forms	40608	40608	0
Cusp forms	40032	40032	0
Eisenstein series	576	576	0

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

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