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Properties

Label 2888.2.bt
Level $2888$
Weight $2$
Character orbit 2888.bt
Rep. character $\chi_{2888}(5,\cdot)$
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.bt (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

\( 40824 q - 108 q^{2} - 102 q^{4} - 102 q^{6} - 222 q^{7} - 111 q^{8} - 216 q^{9} + O(q^{10}) \) \( 40824 q - 108 q^{2} - 102 q^{4} - 102 q^{6} - 222 q^{7} - 111 q^{8} - 216 q^{9} - 123 q^{10} - 111 q^{12} - 105 q^{14} - 216 q^{15} - 114 q^{16} - 216 q^{17} - 102 q^{18} - 72 q^{20} - 102 q^{22} - 216 q^{23} - 78 q^{24} - 216 q^{25} - 111 q^{26} - 138 q^{28} - 90 q^{30} - 258 q^{31} - 153 q^{32} - 198 q^{33} - 54 q^{34} - 183 q^{36} - 72 q^{38} - 204 q^{39} - 150 q^{40} - 204 q^{41} - 33 q^{42} - 159 q^{44} - 96 q^{46} - 180 q^{47} - 720 q^{48} + 876 q^{49} - 102 q^{50} - 117 q^{52} + 450 q^{54} - 186 q^{55} - 144 q^{56} - 216 q^{57} - 30 q^{58} - 144 q^{60} - 108 q^{62} - 258 q^{63} - 135 q^{64} - 222 q^{65} - 168 q^{66} - 75 q^{68} - 237 q^{70} - 216 q^{71} - 264 q^{72} - 240 q^{73} - 189 q^{74} - 156 q^{76} - 153 q^{78} - 216 q^{79} - 165 q^{80} - 210 q^{81} - 213 q^{82} - 189 q^{84} - 1092 q^{86} - 222 q^{87} - 87 q^{88} - 216 q^{89} + 846 q^{90} - 66 q^{92} - 168 q^{94} - 156 q^{95} - 204 q^{96} - 216 q^{97} - 207 q^{98} + O(q^{100}) \)

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.