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Properties

Label 2667.2.cf
Level $2667$
Weight $2$
Character orbit 2667.cf
Rep. character $\chi_{2667}(313,\cdot)$
Character field $\Q(\zeta_{18})$
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.cf (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q(\zeta_{18})\)
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

\( 1026 q - 516 q^{4} - 6 q^{7} + 12 q^{8} + O(q^{10}) \) \( 1026 q - 516 q^{4} - 6 q^{7} + 12 q^{8} - 12 q^{11} - 33 q^{13} + 60 q^{14} + 12 q^{15} - 522 q^{16} + 6 q^{18} + 6 q^{22} + 24 q^{23} - 519 q^{25} - 3 q^{27} + 60 q^{28} - 24 q^{30} - 30 q^{31} - 12 q^{32} - 72 q^{34} - 42 q^{35} + 12 q^{36} + 21 q^{37} - 24 q^{39} + 54 q^{41} + 6 q^{42} - 12 q^{43} + 90 q^{44} + 78 q^{46} - 72 q^{48} - 54 q^{49} + 12 q^{52} - 12 q^{53} + 54 q^{55} - 12 q^{56} - 57 q^{57} - 60 q^{58} + 144 q^{59} - 18 q^{60} + 3 q^{63} + 984 q^{64} + 30 q^{65} - 72 q^{67} + 36 q^{69} - 36 q^{70} - 12 q^{71} - 24 q^{72} + 54 q^{74} + 72 q^{75} + 105 q^{79} - 24 q^{84} - 48 q^{85} + 42 q^{86} + 54 q^{88} + 18 q^{90} + 72 q^{91} - 150 q^{92} + 21 q^{93} - 18 q^{97} - 24 q^{98} + 24 q^{99} + O(q^{100}) \)

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

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