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

• Label: 4368.2.cz
• Level: $4368$
• Weight: $2$
• Character orbit: 4368.cz
• Rep. character: $\chi_{4368}(1763,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1776$
• Sturm bound: $1792$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	1808	1808	0
Cusp forms	1776	1776	0
Eisenstein series	32	32	0

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

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