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

• Label: 3960.2.gz
• Level: $3960$
• Weight: $2$
• Character orbit: 3960.gz
• Rep. character: $\chi_{3960}(83,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $13696$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 3960 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3960.gz (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3960 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(1728\)

Dimensions

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

	Total	New	Old
Modular forms	13952	13952	0
Cusp forms	13696	13696	0
Eisenstein series	256	256	0

Trace form

13696 * q - 30 * q^2 - 24 * q^3 - 40 * q^6 - 96 * q^11 - 20 * q^12 - 12 * q^16 - 20 * q^18 - 18 * q^20 - 16 * q^22 - 12 * q^25 - 24 * q^27 - 40 * q^28 - 20 * q^30 - 20 * q^33 - 40 * q^36 + 6 * q^38 - 10 * q^40 - 120 * q^41 - 60 * q^42 - 80 * q^46 - 24 * q^48 - 30 * q^50 - 80 * q^51 - 10 * q^52 - 264 * q^56 - 40 * q^57 - 22 * q^58 + 32 * q^60 - 116 * q^66 - 32 * q^67 - 30 * q^68 + 34 * q^70 + 130 * q^72 - 80 * q^73 - 24 * q^75 - 88 * q^78 - 48 * q^81 - 40 * q^82 - 60 * q^83 - 36 * q^86 + 104 * q^88 - 200 * q^90 - 96 * q^91 + 210 * q^92 - 180 * q^96 - 12 * q^97

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

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