↑

Properties

Label 2667.2.cw
Level $2667$
Weight $2$
Character orbit 2667.cw
Rep. character $\chi_{2667}(4,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $2040$
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.cw (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 4152 2040 2112
Cusp forms 4056 2040 2016
Eisenstein series 96 0 96

Trace form

\( 2040 q - 10 q^{2} + 2 q^{3} + 158 q^{4} - 8 q^{6} - q^{7} + 4 q^{8} + 170 q^{9} + O(q^{10}) \) \( 2040 q - 10 q^{2} + 2 q^{3} + 158 q^{4} - 8 q^{6} - q^{7} + 4 q^{8} + 170 q^{9} + 4 q^{10} + 28 q^{11} + 4 q^{12} + 12 q^{13} - 24 q^{14} + 8 q^{15} + 146 q^{16} + 4 q^{18} + 42 q^{19} + 32 q^{20} + 20 q^{21} - 8 q^{22} + 16 q^{23} - 72 q^{24} + 134 q^{25} - 88 q^{26} - 4 q^{27} - 112 q^{28} - 48 q^{29} - 16 q^{30} + 2 q^{31} + 14 q^{32} + 38 q^{33} - 200 q^{34} + 40 q^{35} - 344 q^{36} - 2 q^{37} + 2 q^{39} + 44 q^{40} - 12 q^{41} + 44 q^{42} - 44 q^{43} + 92 q^{44} + 52 q^{46} - 60 q^{47} + 16 q^{48} - 97 q^{49} - 56 q^{50} - 12 q^{52} + 24 q^{53} + 4 q^{54} - 132 q^{55} + 8 q^{56} + 12 q^{57} - 20 q^{58} - 16 q^{59} + 30 q^{60} + 8 q^{61} + 56 q^{62} - 6 q^{63} - 380 q^{64} - 26 q^{65} + 16 q^{66} + 70 q^{67} + 56 q^{68} + 16 q^{69} + 74 q^{70} + 96 q^{71} - 2 q^{72} + 47 q^{73} - 74 q^{74} - 100 q^{75} - 52 q^{76} + 48 q^{77} - 24 q^{79} - 32 q^{80} + 170 q^{81} - 56 q^{82} - 24 q^{83} - 52 q^{84} - 8 q^{85} + 100 q^{86} - 2 q^{87} + 54 q^{88} + 56 q^{89} + 104 q^{90} - 78 q^{91} + 196 q^{92} - 6 q^{93} - 8 q^{94} + 12 q^{95} + 28 q^{96} - 24 q^{97} - 152 q^{98} + O(q^{100}) \)

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

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