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Properties

Label 2888.2.bh
Level $2888$
Weight $2$
Character orbit 2888.bh
Rep. character $\chi_{2888}(45,\cdot)$
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.bh (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

\( 13608 q - 37 q^{2} - 39 q^{4} - 35 q^{6} - 68 q^{7} - 40 q^{8} - 448 q^{9} + O(q^{10}) \) \( 13608 q - 37 q^{2} - 39 q^{4} - 35 q^{6} - 68 q^{7} - 40 q^{8} - 448 q^{9} + 29 q^{10} - 28 q^{12} - 38 q^{14} - 70 q^{15} - 35 q^{16} - 74 q^{17} - 18 q^{18} - 54 q^{20} - 124 q^{22} - 74 q^{23} - 51 q^{24} - 444 q^{25} - 125 q^{26} - 27 q^{28} + 6 q^{30} - 28 q^{31} - 47 q^{32} - 88 q^{33} - 48 q^{34} - 50 q^{36} - 8 q^{38} - 56 q^{39} - 28 q^{40} - 78 q^{41} - 22 q^{42} - 49 q^{44} - 46 q^{46} - 86 q^{47} + 341 q^{48} - 784 q^{49} - 12 q^{50} - 26 q^{52} - 225 q^{54} - 84 q^{55} + 160 q^{56} - 70 q^{57} - 62 q^{58} - 110 q^{60} - 55 q^{62} - 48 q^{63} - 72 q^{64} - 48 q^{65} - 63 q^{66} - 132 q^{68} - 46 q^{70} - 46 q^{71} - 2 q^{72} - 66 q^{73} - 50 q^{74} + 208 q^{76} - 272 q^{78} - 110 q^{79} - 190 q^{80} + 362 q^{81} - 71 q^{82} - 55 q^{84} + 600 q^{86} - 112 q^{87} - 104 q^{88} - 74 q^{89} - 752 q^{90} - 54 q^{92} - 262 q^{94} - 114 q^{95} - 220 q^{96} - 58 q^{97} - 172 q^{98} + O(q^{100}) \)

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.