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Properties

Label 2667.2.bn
Level $2667$
Weight $2$
Character orbit 2667.bn
Rep. character $\chi_{2667}(1378,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $344$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.bn (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 688 344 344
Cusp forms 672 344 328
Eisenstein series 16 0 16

Trace form

\( 344 q + 4 q^{2} + 348 q^{4} + 6 q^{7} - 172 q^{9} + O(q^{10}) \) \( 344 q + 4 q^{2} + 348 q^{4} + 6 q^{7} - 172 q^{9} + 20 q^{11} + 12 q^{14} - 4 q^{15} + 324 q^{16} - 2 q^{18} + 12 q^{21} + 10 q^{22} + 12 q^{23} + 344 q^{25} - 6 q^{28} + 36 q^{29} - 16 q^{30} + 4 q^{32} + 2 q^{35} - 174 q^{36} - 20 q^{37} + 36 q^{39} + 6 q^{42} + 12 q^{43} + 14 q^{44} - 60 q^{46} - 10 q^{49} + 28 q^{50} + 12 q^{53} + 12 q^{56} + 60 q^{57} + 114 q^{58} - 12 q^{60} + 368 q^{64} + 24 q^{65} - 12 q^{67} + 22 q^{70} - 52 q^{71} - 2 q^{74} - 20 q^{79} - 172 q^{81} + 44 q^{84} - 24 q^{85} - 42 q^{86} - 4 q^{88} + 6 q^{91} + 132 q^{92} - 60 q^{93} - 76 q^{98} + 20 q^{99} + O(q^{100}) \)

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

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