Properties

Label 2880.2.fn
Level $2880$
Weight $2$
Character orbit 2880.fn
Rep. character $\chi_{2880}(77,\cdot)$
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.fn (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

\( 9152q - 24q^{2} - 16q^{3} - 24q^{5} - 32q^{6} - 8q^{7} + O(q^{10}) \) \( 9152q - 24q^{2} - 16q^{3} - 24q^{5} - 32q^{6} - 8q^{7} - 32q^{10} - 48q^{11} - 16q^{12} - 8q^{13} - 16q^{15} - 16q^{16} - 16q^{18} - 24q^{20} - 32q^{21} - 8q^{22} - 24q^{23} - 8q^{25} - 16q^{27} - 32q^{28} - 112q^{30} - 24q^{32} - 32q^{34} - 32q^{36} - 32q^{37} - 24q^{38} - 8q^{40} - 48q^{41} - 16q^{42} - 8q^{43} - 16q^{45} - 64q^{46} - 120q^{48} - 336q^{50} - 32q^{51} - 8q^{52} - 32q^{55} - 48q^{56} - 16q^{57} - 8q^{58} + 40q^{60} - 16q^{61} - 32q^{63} - 48q^{65} - 32q^{66} - 8q^{67} - 120q^{68} - 8q^{70} - 136q^{72} - 32q^{73} - 16q^{75} + 32q^{76} - 24q^{77} - 168q^{78} - 32q^{81} - 32q^{82} - 24q^{83} - 48q^{85} - 48q^{86} + 96q^{87} - 8q^{88} - 16q^{90} - 64q^{91} + 432q^{92} - 40q^{93} + 64q^{94} - 32q^{96} + 128q^{99} + O(q^{100}) \)

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

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