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Properties

Label 2880.2.du
Level $2880$
Weight $2$
Character orbit 2880.du
Rep. character $\chi_{2880}(307,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $1904$
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.du (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 320 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 4672 1936 2736
Cusp forms 4544 1904 2640
Eisenstein series 128 32 96

Trace form

\( 1904 q + 8 q^{2} + 8 q^{5} - 8 q^{7} + 8 q^{8} + O(q^{10}) \) \( 1904 q + 8 q^{2} + 8 q^{5} - 8 q^{7} + 8 q^{8} - 8 q^{10} + 16 q^{11} - 8 q^{13} + 32 q^{14} - 16 q^{16} + 8 q^{20} + 24 q^{22} + 8 q^{23} - 8 q^{25} + 16 q^{26} - 8 q^{28} - 32 q^{31} + 8 q^{32} + 32 q^{34} + 8 q^{35} - 8 q^{37} + 64 q^{38} + 16 q^{40} + 16 q^{41} - 8 q^{43} - 16 q^{46} + 16 q^{47} - 96 q^{50} - 8 q^{52} + 8 q^{53} - 8 q^{55} + 112 q^{56} + 56 q^{58} - 16 q^{61} + 24 q^{62} + 16 q^{65} - 8 q^{67} + 32 q^{68} - 8 q^{70} - 48 q^{71} - 8 q^{73} + 16 q^{76} + 8 q^{77} - 32 q^{79} + 8 q^{80} + 152 q^{82} + 8 q^{83} + 32 q^{85} + 16 q^{86} + 80 q^{88} - 16 q^{91} + 88 q^{92} - 32 q^{94} + 16 q^{95} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(2880, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(320, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(960, [\chi])\)\(^{\oplus 2}\)