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Properties

Label 2667.2.eg
Level $2667$
Weight $2$
Character orbit 2667.eg
Rep. character $\chi_{2667}(23,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $12132$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.eg (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2667 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(682\)

Dimensions

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

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

Trace form

\( 12132 q - 18 q^{3} - 1026 q^{4} - 60 q^{6} - 60 q^{7} - 18 q^{9} + O(q^{10}) \) \( 12132 q - 18 q^{3} - 1026 q^{4} - 60 q^{6} - 60 q^{7} - 18 q^{9} + 48 q^{10} - 42 q^{12} - 123 q^{13} - 54 q^{15} + 912 q^{16} + 18 q^{18} + 36 q^{19} - 276 q^{21} - 120 q^{22} - 3 q^{24} - 1944 q^{25} - 66 q^{27} - 216 q^{28} + 63 q^{30} + 15 q^{31} - 21 q^{33} - 168 q^{34} - 54 q^{36} - 87 q^{37} + 6 q^{39} - 126 q^{40} + 3 q^{42} - 144 q^{43} + 42 q^{45} - 36 q^{46} - 174 q^{48} - 12 q^{51} + 54 q^{52} - 30 q^{54} - 54 q^{55} - 126 q^{57} - 84 q^{58} + 174 q^{60} - 30 q^{61} - 42 q^{63} + 1644 q^{64} + 24 q^{66} + 33 q^{67} - 72 q^{69} - 30 q^{70} - 129 q^{72} - 30 q^{73} + 249 q^{75} - 336 q^{76} - 99 q^{78} + 96 q^{79} + 306 q^{81} + 72 q^{82} + 312 q^{84} - 114 q^{85} - 24 q^{87} - 60 q^{88} - 186 q^{90} - 237 q^{91} - 24 q^{93} + 24 q^{94} - 36 q^{96} - 252 q^{97} + O(q^{100}) \)

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.