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Properties

Label 2880.2.fk
Level $2880$
Weight $2$
Character orbit 2880.fk
Rep. character $\chi_{2880}(187,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $9152$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2880 = 2^{6} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2880.fk (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2880 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2880, [\chi])\).

Total New Old
Modular forms 9280 9280 0
Cusp forms 9152 9152 0
Eisenstein series 128 128 0

Trace form

\( 9152 q - 8 q^{2} - 16 q^{3} - 8 q^{5} - 32 q^{6} - 8 q^{7} - 32 q^{8} + O(q^{10}) \) \( 9152 q - 8 q^{2} - 16 q^{3} - 8 q^{5} - 32 q^{6} - 8 q^{7} - 32 q^{8} - 32 q^{10} - 16 q^{11} - 16 q^{12} - 8 q^{13} - 16 q^{15} - 16 q^{16} - 64 q^{17} - 16 q^{18} - 8 q^{20} - 32 q^{21} - 8 q^{22} - 8 q^{23} - 8 q^{25} - 64 q^{26} - 16 q^{27} - 32 q^{28} + 80 q^{30} - 32 q^{31} - 8 q^{32} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 120 q^{38} - 8 q^{40} - 16 q^{41} - 16 q^{42} - 8 q^{43} - 16 q^{45} - 64 q^{46} + 88 q^{48} - 112 q^{50} - 32 q^{51} - 8 q^{52} - 32 q^{53} - 32 q^{55} - 16 q^{56} - 16 q^{57} - 8 q^{58} - 72 q^{60} - 16 q^{61} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 40 q^{68} - 8 q^{70} - 64 q^{71} - 136 q^{72} - 32 q^{73} - 16 q^{75} - 64 q^{76} - 8 q^{77} - 168 q^{78} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 8 q^{83} - 48 q^{85} - 16 q^{86} - 128 q^{87} - 8 q^{88} - 16 q^{90} - 64 q^{91} - 160 q^{92} + 8 q^{93} - 64 q^{94} - 16 q^{95} - 32 q^{96} - 64 q^{98} - 128 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2880, [\chi])\) into newform subspaces

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