Properties

Label 2960.2.fg
Level $2960$
Weight $2$
Character orbit 2960.fg
Rep. character $\chi_{2960}(787,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1808$
Sturm bound $912$

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Defining parameters

Level: \( N \) \(=\) \( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2960.fg (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2960 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(912\)

Dimensions

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

Total New Old
Modular forms 1840 1840 0
Cusp forms 1808 1808 0
Eisenstein series 32 32 0

Trace form

\( 1808 q - 2 q^{2} - 2 q^{5} - 16 q^{6} - 4 q^{7} - 8 q^{8} + 888 q^{9} + O(q^{10}) \) \( 1808 q - 2 q^{2} - 2 q^{5} - 16 q^{6} - 4 q^{7} - 8 q^{8} + 888 q^{9} - 16 q^{11} - 14 q^{12} - 4 q^{13} - 24 q^{15} - 4 q^{16} - 4 q^{17} + 26 q^{18} - 2 q^{20} - 4 q^{21} + 2 q^{22} - 16 q^{23} + 12 q^{24} + 16 q^{26} - 2 q^{28} + 20 q^{30} - 2 q^{32} - 4 q^{33} + 18 q^{35} + 16 q^{36} - 8 q^{37} + 28 q^{38} + 56 q^{40} - 40 q^{42} - 16 q^{43} - 8 q^{44} - 4 q^{46} - 16 q^{48} + 12 q^{50} - 16 q^{51} - 6 q^{52} - 32 q^{54} - 4 q^{55} - 52 q^{56} - 24 q^{57} - 52 q^{58} + 16 q^{60} - 4 q^{61} + 2 q^{62} - 24 q^{63} - 4 q^{65} - 128 q^{66} - 4 q^{67} - 40 q^{68} + 12 q^{69} + 44 q^{70} - 8 q^{71} - 30 q^{72} + 32 q^{73} + 12 q^{74} - 76 q^{75} - 20 q^{76} - 40 q^{78} + 20 q^{80} - 848 q^{81} - 56 q^{82} + 24 q^{84} + 12 q^{85} + 28 q^{86} + 52 q^{87} + 20 q^{88} - 50 q^{90} - 4 q^{91} + 44 q^{92} + 8 q^{93} + 24 q^{94} - 20 q^{96} - 16 q^{97} - 74 q^{98} - 56 q^{99} + O(q^{100}) \)

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

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