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Properties

Label 2960.2.fj
Level $2960$
Weight $2$
Character orbit 2960.fj
Rep. character $\chi_{2960}(637,\cdot)$
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.fj (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

\( 1808 q - 2 q^{2} - 12 q^{3} - 2 q^{5} - 8 q^{6} - 8 q^{8} + 888 q^{9} + O(q^{10}) \) \( 1808 q - 2 q^{2} - 12 q^{3} - 2 q^{5} - 8 q^{6} - 8 q^{8} + 888 q^{9} - 8 q^{10} - 14 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 4 q^{16} - 12 q^{17} + 14 q^{18} - 40 q^{20} - 12 q^{21} - 2 q^{22} - 28 q^{24} - 16 q^{26} - 22 q^{28} - 26 q^{30} - 16 q^{31} - 2 q^{32} - 4 q^{33} + 14 q^{35} - 32 q^{36} - 8 q^{37} + 76 q^{38} - 24 q^{39} - 22 q^{40} - 44 q^{42} - 8 q^{43} + 32 q^{44} - 12 q^{45} - 4 q^{46} - 16 q^{47} + 4 q^{48} + 6 q^{50} - 16 q^{51} - 62 q^{52} - 56 q^{54} + 20 q^{55} + 72 q^{56} + 100 q^{58} + 64 q^{60} - 4 q^{61} - 10 q^{62} + 40 q^{63} - 48 q^{64} - 12 q^{65} - 8 q^{66} + 44 q^{68} + 12 q^{69} - 170 q^{70} + 30 q^{72} - 32 q^{73} - 4 q^{74} - 20 q^{75} + 88 q^{76} - 44 q^{78} - 24 q^{80} - 848 q^{81} - 4 q^{83} - 24 q^{84} - 20 q^{85} - 36 q^{86} + 12 q^{87} - 112 q^{88} - 18 q^{90} - 4 q^{91} + 44 q^{92} - 20 q^{93} + 48 q^{94} - 12 q^{95} - 52 q^{96} - 86 q^{98} + 32 q^{99} + O(q^{100}) \)

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.