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

• Label: 3960.2.cz
• Level: $3960$
• Weight: $2$
• Character orbit: 3960.cz
• Rep. character: $\chi_{3960}(2419,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1712$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 3960 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3960.cz (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3960 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1728\)

Dimensions

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

	Total	New	Old
Modular forms	1744	1744	0
Cusp forms	1712	1712	0
Eisenstein series	32	32	0

Trace form

\( 1712 q - 4 q^{4} - 16 q^{9} + O(q^{10}) \)

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

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