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Properties

Label 2667.2.q
Level $2667$
Weight $2$
Character orbit 2667.q
Rep. character $\chi_{2667}(1396,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $340$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.q (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 692 340 352
Cusp forms 676 340 336
Eisenstein series 16 0 16

Trace form

\( 340 q + 4 q^{2} - 172 q^{4} - 24 q^{8} - 170 q^{9} + O(q^{10}) \) \( 340 q + 4 q^{2} - 172 q^{4} - 24 q^{8} - 170 q^{9} - 16 q^{11} + 8 q^{15} - 160 q^{16} + 4 q^{18} - 30 q^{19} - 8 q^{21} - 8 q^{22} - 146 q^{25} + 24 q^{26} - 16 q^{30} - 18 q^{31} + 28 q^{32} + 32 q^{35} + 344 q^{36} + 6 q^{37} - 12 q^{42} - 88 q^{44} + 34 q^{49} - 56 q^{50} + 36 q^{52} - 12 q^{60} + 12 q^{61} + 352 q^{64} - 44 q^{70} + 104 q^{71} + 12 q^{72} - 78 q^{73} + 40 q^{74} + 6 q^{79} - 170 q^{81} + 48 q^{82} + 12 q^{84} - 48 q^{87} + 68 q^{88} - 24 q^{94} + 152 q^{98} + 32 q^{99} + O(q^{100}) \)

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

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