Space of modular forms of level 960, weight 4, and Character 960.cp

• Label: 960.4.cp
• Level: $960$
• Weight: $4$
• Character orbit: 960.cp
• Rep. character: $\chi_{960}(59,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $4576$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 960 = 2^{6} \cdot 3 \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	960.cp (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 960 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(960, [\chi])\).

	Total	New	Old
Modular forms	4640	4640	0
Cusp forms	4576	4576	0
Eisenstein series	64	64	0

Trace form

\( 4576 q - 32 q^{4} - 16 q^{6} - 16 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(960, [\chi])\) into newform subspaces

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