Properties

Label 2888.2.bi
Level $2888$
Weight $2$
Character orbit 2888.bi
Rep. character $\chi_{2888}(27,\cdot)$
Character field $\Q(\zeta_{114})$
Dimension $13608$
Sturm bound $760$

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Defining parameters

Level: \( N \) \(=\) \( 2888 = 2^{3} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2888.bi (of order \(114\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2888 \)
Character field: \(\Q(\zeta_{114})\)
Sturm bound: \(760\)

Dimensions

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

Total New Old
Modular forms 13752 13752 0
Cusp forms 13608 13608 0
Eisenstein series 144 144 0

Trace form

\( 13608 q - 35 q^{2} - 70 q^{3} - 39 q^{4} - 31 q^{6} - 38 q^{8} - 448 q^{9} + O(q^{10}) \) \( 13608 q - 35 q^{2} - 70 q^{3} - 39 q^{4} - 31 q^{6} - 38 q^{8} - 448 q^{9} - 89 q^{10} - 68 q^{11} - 38 q^{12} - 50 q^{14} - 35 q^{16} - 74 q^{17} - 38 q^{18} - 80 q^{19} + 2 q^{20} - 124 q^{22} - 43 q^{24} - 444 q^{25} + 37 q^{26} - 76 q^{27} - 9 q^{28} - 50 q^{30} - 35 q^{32} - 52 q^{33} - 26 q^{34} - 60 q^{35} - 30 q^{36} - 52 q^{38} - 14 q^{40} - 82 q^{41} - 40 q^{42} - 74 q^{43} - 3 q^{44} - 38 q^{46} + 395 q^{48} + 680 q^{49} - 38 q^{50} - 198 q^{51} - 74 q^{52} + 155 q^{54} + 152 q^{56} - 62 q^{57} - 98 q^{58} - 70 q^{59} + 42 q^{60} - 31 q^{62} - 120 q^{64} - 76 q^{65} - 43 q^{66} - 70 q^{67} - 84 q^{68} - 56 q^{70} - 62 q^{72} - 82 q^{73} - 40 q^{74} - 76 q^{75} + 232 q^{76} + 210 q^{78} - 178 q^{80} + 362 q^{81} - 83 q^{82} - 108 q^{83} + 19 q^{84} + 604 q^{86} - 38 q^{88} - 70 q^{89} - 626 q^{90} - 112 q^{91} - 78 q^{92} + 190 q^{94} + 124 q^{96} - 70 q^{97} + 42 q^{98} - 6 q^{99} + O(q^{100}) \)

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

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