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

• Label: 5239.2.de
• Level: $5239$
• Weight: $2$
• Character orbit: 5239.de
• Rep. character: $\chi_{5239}(25,\cdot)$
• Character field: $\Q(\zeta_{78})$
• Dimension: $11616$
• Sturm bound: $970$

Defining parameters

Level:	\( N \)	\(=\)	\( 5239 = 13^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	5239.de (of order \(78\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 5239 \)
Character field:			\(\Q(\zeta_{78})\)
Sturm bound:			\(970\)

Dimensions

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

	Total	New	Old
Modular forms	11712	11712	0
Cusp forms	11616	11616	0
Eisenstein series	96	96	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.