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Properties

Label 2667.2.h
Level $2667$
Weight $2$
Character orbit 2667.h
Rep. character $\chi_{2667}(1777,\cdot)$
Character field $\Q$
Dimension $172$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 344 172 172
Cusp forms 336 172 164
Eisenstein series 8 0 8

Trace form

\( 172 q - 4 q^{2} + 180 q^{4} - 12 q^{8} + 172 q^{9} + O(q^{10}) \) \( 172 q - 4 q^{2} + 180 q^{4} - 12 q^{8} + 172 q^{9} - 8 q^{11} - 8 q^{15} + 228 q^{16} - 4 q^{18} - 12 q^{21} - 16 q^{22} + 196 q^{25} - 32 q^{30} - 28 q^{32} + 4 q^{35} + 180 q^{36} + 32 q^{37} - 12 q^{42} - 32 q^{44} + 64 q^{49} - 28 q^{50} - 24 q^{60} + 316 q^{64} - 40 q^{70} - 80 q^{71} - 12 q^{72} - 16 q^{74} - 16 q^{79} + 172 q^{81} - 20 q^{84} - 104 q^{88} + 100 q^{98} - 8 q^{99} + O(q^{100}) \)

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

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