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Properties

Label 2888.2.br
Level $2888$
Weight $2$
Character orbit 2888.br
Rep. character $\chi_{2888}(3,\cdot)$
Character field $\Q(\zeta_{342})$
Dimension $40824$
Sturm bound $760$

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Defining parameters

Level: \( N \) \(=\) \( 2888 = 2^{3} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2888.br (of order \(342\) and degree \(108\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2888 \)
Character field: \(\Q(\zeta_{342})\)
Sturm bound: \(760\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2888, [\chi])\).

Total New Old
Modular forms 41256 41256 0
Cusp forms 40824 40824 0
Eisenstein series 432 432 0

Trace form

\( 40824 q - 108 q^{2} - 216 q^{3} - 102 q^{4} - 114 q^{6} - 105 q^{8} - 216 q^{9} + O(q^{10}) \) \( 40824 q - 108 q^{2} - 216 q^{3} - 102 q^{4} - 114 q^{6} - 105 q^{8} - 216 q^{9} - 111 q^{10} - 222 q^{11} - 105 q^{12} - 93 q^{14} - 114 q^{16} - 216 q^{17} - 114 q^{18} - 216 q^{19} - 132 q^{20} - 114 q^{22} - 78 q^{24} - 216 q^{25} - 111 q^{26} - 210 q^{27} - 78 q^{28} - 132 q^{30} - 63 q^{32} - 234 q^{33} - 162 q^{34} - 186 q^{35} - 63 q^{36} - 156 q^{38} - 66 q^{40} - 204 q^{41} - 183 q^{42} - 216 q^{43} - 123 q^{44} - 150 q^{46} - 684 q^{48} - 1320 q^{49} - 132 q^{50} - 240 q^{51} - 69 q^{52} - 690 q^{54} - 114 q^{56} - 216 q^{57} - 30 q^{58} - 216 q^{59} - 138 q^{60} - 180 q^{62} - 135 q^{64} - 210 q^{65} - 204 q^{66} - 216 q^{67} - 75 q^{68} - 195 q^{70} - 216 q^{72} - 192 q^{73} - 123 q^{74} - 228 q^{75} - 180 q^{76} - 195 q^{78} - 165 q^{80} - 210 q^{81} - 153 q^{82} - 222 q^{83} - 213 q^{84} - 1152 q^{86} - 177 q^{88} - 216 q^{89} + 798 q^{90} - 174 q^{91} - 66 q^{92} - 114 q^{94} - 216 q^{97} + 9 q^{98} - 270 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2888, [\chi])\) into newform subspaces

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