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Properties

Label 2667.2.eh
Level $2667$
Weight $2$
Character orbit 2667.eh
Rep. character $\chi_{2667}(17,\cdot)$
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.eh (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

\( 12132 q - 54 q^{3} - 1026 q^{4} - 60 q^{7} - 18 q^{9} + O(q^{10}) \) \( 12132 q - 54 q^{3} - 1026 q^{4} - 60 q^{7} - 18 q^{9} - 108 q^{10} - 36 q^{12} + 51 q^{13} - 72 q^{15} + 912 q^{16} + 18 q^{18} - 108 q^{19} + 168 q^{21} - 120 q^{22} - 117 q^{24} - 1944 q^{25} - 168 q^{28} - 45 q^{30} - 177 q^{31} - 63 q^{33} - 114 q^{36} - 33 q^{37} - 42 q^{39} + 126 q^{40} - 63 q^{42} - 144 q^{43} - 54 q^{45} - 36 q^{46} - 24 q^{51} - 114 q^{52} - 36 q^{54} + 90 q^{55} - 18 q^{57} - 84 q^{58} + 246 q^{60} - 126 q^{61} - 12 q^{63} + 1644 q^{64} - 54 q^{66} - 153 q^{67} - 30 q^{70} - 63 q^{72} - 126 q^{73} + 639 q^{75} - 396 q^{76} - 45 q^{78} - 270 q^{81} + 192 q^{84} - 114 q^{85} - 54 q^{87} - 12 q^{88} + 126 q^{90} + 33 q^{91} - 84 q^{93} + 180 q^{94} - 162 q^{96} + 216 q^{97} - 144 q^{99} + O(q^{100}) \)

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.