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Properties

Label 2667.2.br
Level $2667$
Weight $2$
Character orbit 2667.br
Rep. character $\chi_{2667}(22,\cdot)$
Character field $\Q(\zeta_{9})$
Dimension $768$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.br (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 127 \)
Character field: \(\Q(\zeta_{9})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 2076 768 1308
Cusp forms 2028 768 1260
Eisenstein series 48 0 48

Trace form

\( 768 q + 768 q^{4} + 12 q^{8} + O(q^{10}) \) \( 768 q + 768 q^{4} + 12 q^{8} + 24 q^{11} + 6 q^{14} + 816 q^{16} + 24 q^{17} + 6 q^{18} - 42 q^{22} - 12 q^{23} - 360 q^{25} - 12 q^{28} + 24 q^{30} - 24 q^{31} - 96 q^{32} - 12 q^{33} - 24 q^{35} - 12 q^{36} + 24 q^{37} + 60 q^{38} + 168 q^{40} + 84 q^{43} + 144 q^{44} - 78 q^{46} - 60 q^{47} + 48 q^{48} + 48 q^{51} + 48 q^{52} - 24 q^{53} + 12 q^{55} + 12 q^{56} + 24 q^{57} + 78 q^{58} + 48 q^{59} - 24 q^{61} - 24 q^{63} + 948 q^{64} + 36 q^{65} + 72 q^{67} + 180 q^{68} + 12 q^{69} - 24 q^{71} + 12 q^{72} + 66 q^{74} - 48 q^{76} + 48 q^{77} - 24 q^{79} + 168 q^{82} + 48 q^{83} - 12 q^{85} - 324 q^{86} - 24 q^{87} - 66 q^{88} - 12 q^{89} + 24 q^{90} + 66 q^{92} - 96 q^{94} - 312 q^{95} - 48 q^{97} + 6 q^{98} - 48 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2667, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(127, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(381, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(889, [\chi])\)\(^{\oplus 2}\)