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Properties

Label 2667.2.cm
Level $2667$
Weight $2$
Character orbit 2667.cm
Rep. character $\chi_{2667}(359,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $2022$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.cm (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2667 \)
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 2070 0
Cusp forms 2022 2022 0
Eisenstein series 48 48 0

Trace form

\( 2022 q - 3 q^{3} + 984 q^{4} - 24 q^{6} - 6 q^{7} - 3 q^{9} + O(q^{10}) \) \( 2022 q - 3 q^{3} + 984 q^{4} - 24 q^{6} - 6 q^{7} - 3 q^{9} + 21 q^{12} - 45 q^{13} - 30 q^{15} - 954 q^{16} - 3 q^{18} - 12 q^{19} + 9 q^{21} - 48 q^{22} - 18 q^{24} - 951 q^{25} - 18 q^{27} + 60 q^{28} + 141 q^{30} - 12 q^{31} - 9 q^{33} - 30 q^{36} - 63 q^{37} + 9 q^{39} + 252 q^{40} - 45 q^{42} - 24 q^{43} + 27 q^{45} - 78 q^{46} + 90 q^{48} + 78 q^{49} - 78 q^{52} - 114 q^{55} - 21 q^{57} - 30 q^{58} - 60 q^{60} + 6 q^{61} - 1812 q^{64} - 66 q^{67} - 12 q^{69} + 30 q^{70} + 27 q^{72} + 6 q^{73} - 27 q^{75} + 15 q^{78} - 75 q^{79} + 45 q^{81} - 90 q^{82} + 114 q^{84} - 54 q^{85} - 6 q^{87} - 54 q^{88} + 102 q^{90} - 48 q^{91} + 48 q^{93} + 132 q^{94} + 15 q^{96} - 84 q^{99} + O(q^{100}) \)

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.