↑

Properties

Label 2960.2.hb
Level $2960$
Weight $2$
Character orbit 2960.hb
Rep. character $\chi_{2960}(3,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $5424$
Sturm bound $912$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2960.hb (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

\( 5424 q - 12 q^{2} - 24 q^{3} - 12 q^{5} - 24 q^{7} - 18 q^{8} + O(q^{10}) \) \( 5424 q - 12 q^{2} - 24 q^{3} - 12 q^{5} - 24 q^{7} - 18 q^{8} - 6 q^{10} - 12 q^{11} - 12 q^{12} - 24 q^{16} - 24 q^{17} - 18 q^{18} - 12 q^{20} - 24 q^{21} - 36 q^{23} - 36 q^{24} - 12 q^{26} - 12 q^{27} - 12 q^{28} + 6 q^{30} - 12 q^{32} - 24 q^{33} - 12 q^{35} - 48 q^{36} - 108 q^{38} + 18 q^{40} + 42 q^{42} + 144 q^{44} - 18 q^{45} - 24 q^{46} + 42 q^{48} - 54 q^{50} - 36 q^{51} - 72 q^{52} - 24 q^{53} - 24 q^{54} - 24 q^{55} - 24 q^{56} - 180 q^{58} - 18 q^{60} - 24 q^{61} - 36 q^{62} - 24 q^{65} - 36 q^{66} - 36 q^{69} - 144 q^{70} - 48 q^{71} - 60 q^{72} - 48 q^{73} - 96 q^{74} - 24 q^{75} - 120 q^{76} + 60 q^{77} - 138 q^{78} - 48 q^{81} - 18 q^{82} - 24 q^{83} - 6 q^{85} - 24 q^{86} - 192 q^{87} - 18 q^{88} + 42 q^{90} - 24 q^{91} - 102 q^{92} - 72 q^{94} - 72 q^{96} - 36 q^{97} - 36 q^{98} - 192 q^{99} + O(q^{100}) \)

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.