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Properties

Label 2960.2.y
Level $2960$
Weight $2$
Character orbit 2960.y
Rep. character $\chi_{2960}(1437,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $904$
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.y (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2960 \)
Character field: \(\Q(i)\)
Sturm bound: \(912\)

Dimensions

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

Total New Old
Modular forms 920 920 0
Cusp forms 904 904 0
Eisenstein series 16 16 0

Trace form

\( 904 q - 4 q^{6} - 888 q^{9} + O(q^{10}) \) \( 904 q - 4 q^{6} - 888 q^{9} - 4 q^{10} + 8 q^{12} - 4 q^{13} - 8 q^{14} - 4 q^{15} - 8 q^{16} - 8 q^{17} - 12 q^{18} + 4 q^{20} - 4 q^{22} - 4 q^{24} - 8 q^{26} - 16 q^{28} + 28 q^{30} - 8 q^{31} - 8 q^{33} - 4 q^{35} - 32 q^{36} - 4 q^{37} - 4 q^{38} + 24 q^{39} - 16 q^{40} - 20 q^{42} + 4 q^{43} - 32 q^{44} - 24 q^{45} - 8 q^{46} - 8 q^{47} - 44 q^{48} - 20 q^{50} - 24 q^{52} - 24 q^{54} + 20 q^{55} - 56 q^{56} + 24 q^{57} - 20 q^{58} - 72 q^{60} + 8 q^{62} - 64 q^{63} - 48 q^{64} - 48 q^{66} + 8 q^{68} - 64 q^{70} - 36 q^{72} + 16 q^{73} - 44 q^{74} + 8 q^{75} + 4 q^{76} + 16 q^{78} + 16 q^{80} + 824 q^{81} + 28 q^{82} - 8 q^{83} + 24 q^{84} - 20 q^{85} + 24 q^{86} - 48 q^{88} + 8 q^{93} - 16 q^{96} - 8 q^{97} + 20 q^{98} - 64 q^{99} + O(q^{100}) \)

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.