Space of modular forms of level 2960, weight 2, and Character 2960.ck

• Label: 2960.2.ck
• Level: $2960$
• Weight: $2$
• Character orbit: 2960.ck
• Rep. character: $\chi_{2960}(31,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $152$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2960.ck (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 148 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2960, [\chi])\).

	Total	New	Old
Modular forms	936	152	784
Cusp forms	888	152	736
Eisenstein series	48	0	48

Trace form

\( 152 q + 152 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2960, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2960, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2960, [\chi]) \cong \)