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Properties

Label 2667.2.e
Level $2667$
Weight $2$
Character orbit 2667.e
Rep. character $\chi_{2667}(1142,\cdot)$
Character field $\Q$
Dimension $256$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.e (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 381 \)
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 344 256 88
Cusp forms 336 256 80
Eisenstein series 8 0 8

Trace form

\( 256 q - 256 q^{4} + O(q^{10}) \) \( 256 q - 256 q^{4} - 8 q^{13} + 8 q^{15} + 256 q^{16} + 20 q^{18} - 8 q^{19} + 32 q^{22} + 248 q^{25} - 68 q^{30} + 8 q^{31} + 24 q^{36} - 8 q^{37} - 20 q^{42} - 256 q^{49} + 56 q^{52} - 64 q^{60} + 40 q^{61} - 184 q^{64} + 24 q^{69} - 36 q^{72} + 8 q^{73} - 16 q^{79} - 24 q^{81} + 88 q^{82} + 28 q^{84} - 4 q^{87} - 128 q^{88} - 40 q^{94} - 44 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2667, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(381, [\chi])\)\(^{\oplus 2}\)