Properties

Label 2667.2.ex
Level $2667$
Weight $2$
Character orbit 2667.ex
Rep. character $\chi_{2667}(41,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $12168$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.ex (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 12456 12456 0
Cusp forms 12168 12168 0
Eisenstein series 288 288 0

Trace form

\( 12168 q + 1896 q^{4} - 78 q^{7} - 72 q^{9} + O(q^{10}) \) \( 12168 q + 1896 q^{4} - 78 q^{7} - 72 q^{9} - 72 q^{15} - 2208 q^{16} - 108 q^{18} - 156 q^{21} - 192 q^{22} + 822 q^{25} - 132 q^{28} - 126 q^{30} - 78 q^{36} - 162 q^{37} - 60 q^{39} - 81 q^{42} - 144 q^{43} - 216 q^{46} - 54 q^{49} - 78 q^{51} - 180 q^{57} - 264 q^{58} - 6 q^{60} - 12 q^{63} + 1920 q^{64} - 78 q^{67} - 156 q^{70} - 144 q^{72} + 90 q^{78} - 6 q^{79} - 324 q^{81} - 330 q^{84} - 204 q^{85} - 264 q^{88} - 162 q^{91} - 174 q^{93} + 72 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2667, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.