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Properties

Label 2667.2.s
Level $2667$
Weight $2$
Character orbit 2667.s
Rep. character $\chi_{2667}(997,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $340$
Sturm bound $682$

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Defining parameters

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

Dimensions

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

Total New Old
Modular forms 692 340 352
Cusp forms 676 340 336
Eisenstein series 16 0 16

Trace form

\( 340 q - 2 q^{2} - 166 q^{4} - 6 q^{7} - 170 q^{9} + O(q^{10}) \) \( 340 q - 2 q^{2} - 166 q^{4} - 6 q^{7} - 170 q^{9} + 6 q^{10} + 8 q^{11} - 9 q^{13} + 24 q^{14} + 2 q^{15} - 166 q^{16} + 4 q^{18} + 15 q^{19} - 48 q^{20} + 10 q^{21} - 2 q^{22} - 176 q^{25} - 24 q^{28} + 36 q^{29} - 16 q^{30} - 9 q^{31} - 2 q^{32} - 24 q^{34} + 14 q^{35} - 166 q^{36} + 15 q^{37} + 18 q^{40} - 18 q^{41} + 12 q^{42} + 12 q^{43} - 34 q^{44} + 24 q^{46} - 24 q^{48} + 34 q^{49} + 28 q^{50} + 18 q^{52} - 12 q^{55} - 84 q^{56} - 9 q^{57} + 48 q^{58} - 96 q^{59} + 6 q^{60} - 6 q^{61} - 84 q^{62} + 376 q^{64} + 69 q^{67} + 12 q^{69} - 26 q^{70} + 14 q^{71} + 39 q^{73} + 28 q^{74} - 48 q^{75} + 30 q^{79} + 48 q^{80} - 170 q^{81} + 24 q^{82} - 24 q^{85} - 84 q^{86} - 48 q^{87} + 80 q^{88} - 24 q^{89} + 6 q^{90} + 21 q^{91} + 132 q^{92} - 9 q^{93} - 24 q^{94} + 12 q^{95} - 30 q^{97} - 100 q^{98} - 4 q^{99} + O(q^{100}) \)

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

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