Properties

Label 2960.2.fi
Level $2960$
Weight $2$
Character orbit 2960.fi
Rep. character $\chi_{2960}(717,\cdot)$
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.fi (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

\( 1808 q - 6 q^{2} - 12 q^{3} - 6 q^{5} - 8 q^{6} + 888 q^{9} + O(q^{10}) \) \( 1808 q - 6 q^{2} - 12 q^{3} - 6 q^{5} - 8 q^{6} + 888 q^{9} - 8 q^{10} - 14 q^{12} - 8 q^{13} + 8 q^{14} - 8 q^{15} - 4 q^{16} - 4 q^{17} - 54 q^{18} + 32 q^{20} - 12 q^{21} + 10 q^{22} + 4 q^{24} - 16 q^{26} + 10 q^{28} - 22 q^{30} - 16 q^{31} - 6 q^{32} - 4 q^{33} - 2 q^{35} + 32 q^{36} - 8 q^{37} + 76 q^{38} - 24 q^{39} + 10 q^{40} + 32 q^{42} + 8 q^{43} + 32 q^{44} + 12 q^{45} - 4 q^{46} - 16 q^{47} - 4 q^{48} + 14 q^{50} - 42 q^{52} - 20 q^{55} - 40 q^{56} - 24 q^{57} + 32 q^{58} - 48 q^{60} - 12 q^{61} - 2 q^{62} + 40 q^{63} + 48 q^{64} - 12 q^{65} - 24 q^{66} - 20 q^{68} - 36 q^{69} + 154 q^{70} - 18 q^{72} + 32 q^{73} - 4 q^{74} - 20 q^{75} - 40 q^{76} - 4 q^{78} + 44 q^{80} - 848 q^{81} - 40 q^{82} - 4 q^{83} - 24 q^{84} + 20 q^{85} - 36 q^{86} - 36 q^{87} + 36 q^{88} - 18 q^{90} - 12 q^{91} + 84 q^{92} - 20 q^{93} - 12 q^{95} + 4 q^{96} - 16 q^{97} - 2 q^{98} - 32 q^{99} + O(q^{100}) \)

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

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