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Properties

Label 2667.2.ec
Level $2667$
Weight $2$
Character orbit 2667.ec
Rep. character $\chi_{2667}(163,\cdot)$
Character field $\Q(\zeta_{63})$
Dimension $6156$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.ec (of order \(63\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q(\zeta_{63})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 12420 6156 6264
Cusp forms 12132 6156 5976
Eisenstein series 288 0 288

Trace form

\( 6156 q + 516 q^{4} + 6 q^{7} - 30 q^{8} + O(q^{10}) \) \( 6156 q + 516 q^{4} + 6 q^{7} - 30 q^{8} - 48 q^{10} + 12 q^{11} - 15 q^{13} - 36 q^{14} + 12 q^{15} + 522 q^{16} + 6 q^{18} + 6 q^{22} - 24 q^{23} + 519 q^{25} - 288 q^{26} + 9 q^{27} + 240 q^{28} - 24 q^{30} + 6 q^{31} - 12 q^{32} + 114 q^{33} + 192 q^{34} + 162 q^{35} - 12 q^{36} - 99 q^{37} + 24 q^{39} + 72 q^{40} - 54 q^{41} + 6 q^{42} + 12 q^{43} + 6 q^{44} - 114 q^{46} - 24 q^{48} + 54 q^{49} + 48 q^{52} + 36 q^{53} - 24 q^{54} + 96 q^{55} + 84 q^{56} + 57 q^{57} + 60 q^{58} - 24 q^{59} - 18 q^{60} + 9 q^{63} - 1278 q^{64} + 120 q^{65} - 96 q^{66} + 24 q^{67} + 84 q^{68} - 12 q^{69} + 24 q^{70} - 12 q^{71} - 24 q^{72} - 264 q^{74} - 24 q^{75} + 36 q^{77} + 57 q^{79} + 336 q^{82} - 72 q^{83} + 24 q^{84} - 48 q^{85} + 126 q^{86} - 6 q^{87} + 54 q^{88} + 72 q^{89} - 6 q^{90} - 204 q^{91} + 126 q^{92} + 21 q^{93} + 48 q^{94} + 96 q^{95} + 90 q^{97} + 24 q^{98} - 24 q^{99} + O(q^{100}) \)

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

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