Properties

Label 2960.2.fl
Level $2960$
Weight $2$
Character orbit 2960.fl
Rep. character $\chi_{2960}(307,\cdot)$
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.fl (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

\( 1808 q - 6 q^{2} - 6 q^{5} - 4 q^{7} + 888 q^{9} + O(q^{10}) \) \( 1808 q - 6 q^{2} - 6 q^{5} - 4 q^{7} + 888 q^{9} - 16 q^{10} - 16 q^{11} - 14 q^{12} - 12 q^{13} - 4 q^{16} - 12 q^{17} - 66 q^{18} - 6 q^{20} - 4 q^{21} + 6 q^{22} - 36 q^{24} - 48 q^{26} - 34 q^{28} - 12 q^{30} - 6 q^{32} - 4 q^{33} - 6 q^{35} + 16 q^{36} - 8 q^{37} + 12 q^{38} - 4 q^{40} + 12 q^{42} - 56 q^{44} - 4 q^{46} - 24 q^{48} - 48 q^{50} - 66 q^{52} - 24 q^{54} - 12 q^{55} - 12 q^{56} - 12 q^{61} - 6 q^{62} - 24 q^{63} - 4 q^{65} - 4 q^{67} - 36 q^{69} + 28 q^{70} - 8 q^{71} + 42 q^{72} - 32 q^{73} - 4 q^{74} + 36 q^{75} - 60 q^{76} + 48 q^{78} - 848 q^{81} - 72 q^{84} - 28 q^{85} + 28 q^{86} + 156 q^{87} - 42 q^{90} - 12 q^{91} + 84 q^{92} - 48 q^{93} - 72 q^{94} + 36 q^{96} + 18 q^{98} + 8 q^{99} + O(q^{100}) \)

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

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