Space of modular forms of level 5239, weight 2, and Character 5239.dj

• Label: 5239.2.dj
• Level: $5239$
• Weight: $2$
• Character orbit: 5239.dj
• Rep. character: $\chi_{5239}(123,\cdot)$
• Character field: $\Q(\zeta_{156})$
• Dimension: $23232$
• Sturm bound: $970$

Defining parameters

Level:	$N$	$=$	$5239 = 13^{2} \cdot 31$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	5239.dj (of order $156$ and degree $48$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$5239$
Character field:			$\Q(\zeta_{156})$
Sturm bound:			$970$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(5239, [\chi])$.

	Total	New	Old
Modular forms	23424	23424	0
Cusp forms	23232	23232	0
Eisenstein series	192	192	0

Decomposition of $S_{2}^{\mathrm{new}}(5239, [\chi])$ into newform subspaces

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