Space of modular forms of level 3960, weight 2, and Character 3960.gn

• Label: 3960.2.gn
• Level: $3960$
• Weight: $2$
• Character orbit: 3960.gn
• Rep. character: $\chi_{3960}(59,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $6848$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 3960 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3960.gn (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3960 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(1728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3960, [\chi])\).

	Total	New	Old
Modular forms	6976	6976	0
Cusp forms	6848	6848	0
Eisenstein series	128	128	0

Trace form

\( 6848 q - 6 q^{4} - 20 q^{6} - 24 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3960, [\chi])\) into newform subspaces

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