Space of modular forms of level 5635, weight 2, and Character 5635.de

• Label: 5635.2.de
• Level: $5635$
• Weight: $2$
• Character orbit: 5635.de
• Rep. character: $\chi_{5635}(13,\cdot)$
• Character field: $\Q(\zeta_{308})$
• Dimension: $80160$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 5635 = 5 \cdot 7^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	5635.de (of order \(308\) and degree \(120\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 5635 \)
Character field:			\(\Q(\zeta_{308})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5635, [\chi])\).

	Total	New	Old
Modular forms	81120	81120	0
Cusp forms	80160	80160	0
Eisenstein series	960	960	0

Decomposition of \(S_{2}^{\mathrm{new}}(5635, [\chi])\) into newform subspaces

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