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Properties

Label 2667.2.dx
Level $2667$
Weight $2$
Character orbit 2667.dx
Rep. character $\chi_{2667}(281,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3072$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.dx (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 381 \)
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 4128 3072 1056
Cusp forms 4032 3072 960
Eisenstein series 96 0 96

Trace form

\( 3072 q + 512 q^{4} + 24 q^{6} + O(q^{10}) \) \( 3072 q + 512 q^{4} + 24 q^{6} - 18 q^{12} - 8 q^{13} + 8 q^{15} - 504 q^{16} - 34 q^{18} - 8 q^{19} + 8 q^{22} - 12 q^{24} - 496 q^{25} - 24 q^{28} - 14 q^{30} - 4 q^{31} - 118 q^{36} - 8 q^{37} + 56 q^{39} + 10 q^{42} + 76 q^{43} - 156 q^{45} + 88 q^{46} + 36 q^{48} - 256 q^{49} - 56 q^{51} - 8 q^{52} - 56 q^{54} + 24 q^{55} + 84 q^{57} + 4 q^{58} + 26 q^{60} + 76 q^{61} + 680 q^{64} + 98 q^{66} - 24 q^{67} + 4 q^{69} + 30 q^{72} - 48 q^{73} + 96 q^{76} + 228 q^{78} + 8 q^{79} + 36 q^{81} - 20 q^{82} - 14 q^{84} - 28 q^{85} + 8 q^{87} - 888 q^{88} + 24 q^{90} - 96 q^{93} - 208 q^{94} + 422 q^{96} + 48 q^{97} + 52 q^{99} + O(q^{100}) \)

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

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