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Properties

Label 2667.2.bq
Level $2667$
Weight $2$
Character orbit 2667.bq
Rep. character $\chi_{2667}(226,\cdot)$
Character field $\Q(\zeta_{9})$
Dimension $1026$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.bq (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q(\zeta_{9})\)
Sturm bound: \(682\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2667, [\chi])\).

Total New Old
Modular forms 2070 1026 1044
Cusp forms 2022 1026 996
Eisenstein series 48 0 48

Trace form

\( 1026 q - 516 q^{4} + 12 q^{7} - 12 q^{8} + O(q^{10}) \) \( 1026 q - 516 q^{4} + 12 q^{7} - 12 q^{8} - 24 q^{10} + 24 q^{11} + 15 q^{13} + 72 q^{14} - 12 q^{15} - 522 q^{16} + 12 q^{18} - 6 q^{22} - 12 q^{23} + 1038 q^{25} + 96 q^{26} - 9 q^{27} - 42 q^{28} + 24 q^{30} + 39 q^{31} + 12 q^{32} - 24 q^{33} - 24 q^{34} - 30 q^{35} + 12 q^{36} - 81 q^{37} - 15 q^{39} + 144 q^{40} + 54 q^{41} + 12 q^{42} - 12 q^{43} - 6 q^{44} - 36 q^{46} + 24 q^{48} + 6 q^{52} - 12 q^{54} + 30 q^{55} - 84 q^{56} - 57 q^{57} + 48 q^{58} - 120 q^{59} + 18 q^{60} - 9 q^{63} + 984 q^{64} - 12 q^{65} - 48 q^{66} + 3 q^{67} + 168 q^{68} + 12 q^{69} + 42 q^{70} + 12 q^{71} - 12 q^{72} + 60 q^{74} - 48 q^{75} + 72 q^{77} - 48 q^{79} + 72 q^{83} - 24 q^{84} + 48 q^{85} - 24 q^{87} - 108 q^{88} + 36 q^{89} + 6 q^{90} - 21 q^{91} - 126 q^{92} - 30 q^{93} + 24 q^{94} - 96 q^{95} - 6 q^{97} + 48 q^{98} + 24 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2667, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2667, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2667, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(889, [\chi])\)\(^{\oplus 2}\)