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Properties

Label 2960.2.hf
Level $2960$
Weight $2$
Character orbit 2960.hf
Rep. character $\chi_{2960}(19,\cdot)$
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.hf (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

\( 5424 q - 24 q^{4} - 12 q^{5} - 24 q^{6} + O(q^{10}) \) \( 5424 q - 24 q^{4} - 12 q^{5} - 24 q^{6} - 6 q^{10} - 36 q^{11} - 24 q^{14} - 24 q^{16} - 24 q^{19} - 12 q^{20} - 24 q^{21} - 60 q^{24} - 12 q^{26} - 12 q^{29} - 114 q^{30} - 24 q^{34} - 12 q^{35} - 48 q^{39} - 42 q^{40} + 120 q^{44} - 18 q^{45} - 24 q^{46} - 48 q^{49} - 54 q^{50} - 36 q^{51} - 24 q^{54} - 24 q^{55} + 144 q^{56} - 24 q^{59} - 168 q^{60} - 24 q^{61} + 180 q^{64} - 48 q^{65} + 84 q^{66} - 60 q^{69} - 24 q^{70} - 48 q^{71} + 48 q^{74} - 24 q^{75} + 144 q^{76} + 120 q^{80} - 48 q^{81} - 96 q^{84} - 18 q^{85} - 72 q^{86} - 96 q^{89} - 54 q^{90} - 24 q^{91} - 72 q^{94} + 204 q^{96} + 276 q^{99} + O(q^{100}) \)

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.