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Properties

Label 2960.2.gx
Level $2960$
Weight $2$
Character orbit 2960.gx
Rep. character $\chi_{2960}(133,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $5424$
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.gx (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2960 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(912\)

Dimensions

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

Total New Old
Modular forms 5520 5520 0
Cusp forms 5424 5424 0
Eisenstein series 96 96 0

Trace form

\( 5424 q - 12 q^{2} - 24 q^{3} - 12 q^{5} - 24 q^{6} - 18 q^{8} + O(q^{10}) \) \( 5424 q - 12 q^{2} - 24 q^{3} - 12 q^{5} - 24 q^{6} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 24 q^{13} - 24 q^{15} - 24 q^{16} - 24 q^{17} - 6 q^{18} + 72 q^{20} - 24 q^{21} - 24 q^{22} - 12 q^{26} - 36 q^{27} - 12 q^{28} + 66 q^{30} - 48 q^{31} - 12 q^{32} - 24 q^{33} - 12 q^{35} - 24 q^{37} - 108 q^{38} - 12 q^{40} + 78 q^{42} + 24 q^{43} - 6 q^{45} - 24 q^{46} - 12 q^{47} + 30 q^{48} - 12 q^{50} - 36 q^{51} + 48 q^{52} + 24 q^{54} - 192 q^{56} - 156 q^{58} + 102 q^{60} - 24 q^{61} + 12 q^{62} - 12 q^{63} - 24 q^{65} + 252 q^{66} - 24 q^{68} + 36 q^{69} - 90 q^{70} + 36 q^{72} - 48 q^{73} - 96 q^{74} - 24 q^{75} + 144 q^{76} - 138 q^{78} + 120 q^{80} - 48 q^{81} - 6 q^{82} - 24 q^{83} - 18 q^{85} - 24 q^{86} + 36 q^{87} - 6 q^{88} + 126 q^{90} - 24 q^{91} - 102 q^{92} - 24 q^{93} - 24 q^{95} - 24 q^{96} - 12 q^{97} - 36 q^{98} - 192 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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