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Properties

Label 2667.2.dv
Level $2667$
Weight $2$
Character orbit 2667.dv
Rep. character $\chi_{2667}(250,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $2040$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.dv (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 4152 2040 2112
Cusp forms 4056 2040 2016
Eisenstein series 96 0 96

Trace form

\( 2040 q + 10 q^{2} + 158 q^{4} + 7 q^{7} - 4 q^{8} + 170 q^{9} + O(q^{10}) \) \( 2040 q + 10 q^{2} + 158 q^{4} + 7 q^{7} - 4 q^{8} + 170 q^{9} - 12 q^{11} - 8 q^{15} + 146 q^{16} - 4 q^{18} - 138 q^{19} - 20 q^{21} + 8 q^{22} + 174 q^{25} - 24 q^{26} + 16 q^{30} + 18 q^{31} - 14 q^{32} - 126 q^{33} + 80 q^{35} - 344 q^{36} - 6 q^{37} - 44 q^{42} + 4 q^{44} - 28 q^{46} - 97 q^{49} + 56 q^{50} - 36 q^{52} - 112 q^{56} - 28 q^{58} - 30 q^{60} - 12 q^{61} - 380 q^{64} - 14 q^{65} - 56 q^{67} - 54 q^{70} - 160 q^{71} + 2 q^{72} - 69 q^{73} + 58 q^{74} + 84 q^{77} - 20 q^{79} + 170 q^{81} - 48 q^{82} - 12 q^{84} - 56 q^{86} + 6 q^{87} - 54 q^{88} + 112 q^{91} - 420 q^{92} + 24 q^{94} - 28 q^{95} - 152 q^{98} - 32 q^{99} + O(q^{100}) \)

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

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