↑

Properties

Label 2667.2.k
Level $2667$
Weight $2$
Character orbit 2667.k
Rep. character $\chi_{2667}(781,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $340$
Sturm bound $682$

Related objects

Downloads

Learn more

Defining parameters

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

\( 340 q + 2 q^{2} - 2 q^{3} - 166 q^{4} - 4 q^{6} + 6 q^{7} - 170 q^{9} + O(q^{10}) \) \( 340 q + 2 q^{2} - 2 q^{3} - 166 q^{4} - 4 q^{6} + 6 q^{7} - 170 q^{9} - 10 q^{10} - 24 q^{11} + 8 q^{12} - 3 q^{13} - 2 q^{15} - 166 q^{16} - 4 q^{18} - 7 q^{19} + 16 q^{20} - 10 q^{21} + 2 q^{22} + 8 q^{23} - 12 q^{24} - 168 q^{25} - 48 q^{26} + 4 q^{27} - 8 q^{28} + 12 q^{29} + 16 q^{30} + q^{31} + 2 q^{32} + 4 q^{33} - 8 q^{34} - 2 q^{35} - 166 q^{36} + 17 q^{37} - 2 q^{39} - 14 q^{40} - 18 q^{41} - 12 q^{42} - 10 q^{43} - 2 q^{44} + 12 q^{46} + 12 q^{47} - 16 q^{48} + 34 q^{49} - 28 q^{50} - 6 q^{52} - 24 q^{53} - 4 q^{54} - 36 q^{55} - 16 q^{56} - 3 q^{57} + 16 q^{59} - 6 q^{60} + 4 q^{61} + 28 q^{62} - 6 q^{63} + 376 q^{64} - 12 q^{65} - 16 q^{66} + 7 q^{67} + 28 q^{68} - 4 q^{69} + 22 q^{70} - 46 q^{71} - q^{73} - 12 q^{74} + 44 q^{75} + 72 q^{76} - 36 q^{77} + 34 q^{79} - 16 q^{80} - 170 q^{81} + 24 q^{83} + 16 q^{84} + 20 q^{85} - 44 q^{86} + 16 q^{87} - 80 q^{88} - 8 q^{89} - 10 q^{90} - 13 q^{91} + 32 q^{92} - 3 q^{93} + 8 q^{94} - 28 q^{95} + 56 q^{96} - 6 q^{97} - 100 q^{98} + 12 q^{99} + O(q^{100}) \)

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

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