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Properties

Label 2888.2.o
Level $2888$
Weight $2$
Character orbit 2888.o
Rep. character $\chi_{2888}(2235,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $648$
Sturm bound $760$

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Defining parameters

Level: \( N \) \(=\) \( 2888 = 2^{3} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2888.o (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 152 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(760\)

Dimensions

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

Total New Old
Modular forms 800 712 88
Cusp forms 720 648 72
Eisenstein series 80 64 16

Trace form

\( 648 q + 3 q^{2} + 6 q^{3} - q^{4} + 7 q^{6} + 294 q^{9} + O(q^{10}) \) \( 648 q + 3 q^{2} + 6 q^{3} - q^{4} + 7 q^{6} + 294 q^{9} + 6 q^{10} + 8 q^{11} - 12 q^{14} + 3 q^{16} + 2 q^{17} + 4 q^{20} + 9 q^{22} + 11 q^{24} + 262 q^{25} + 12 q^{26} + 10 q^{28} - 44 q^{30} + 3 q^{32} + 24 q^{33} + 12 q^{34} + 16 q^{35} + 24 q^{36} + 24 q^{40} - 6 q^{41} + 34 q^{42} + 2 q^{43} + 19 q^{44} + 15 q^{48} - 432 q^{49} + 30 q^{51} - 36 q^{52} - 51 q^{54} - 96 q^{58} + 6 q^{59} + 42 q^{60} - 24 q^{62} - 58 q^{64} - 43 q^{66} + 6 q^{67} - 32 q^{68} - 18 q^{70} - 24 q^{72} - 6 q^{73} - 14 q^{74} - 18 q^{78} + 28 q^{80} - 196 q^{81} - 33 q^{82} - 32 q^{83} - 42 q^{86} + 6 q^{89} + 96 q^{90} - 36 q^{91} - 124 q^{92} - 134 q^{96} + 6 q^{97} - 15 q^{98} + 96 q^{99} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(2888, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2888, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 2}\)