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Properties

Label 2667.2.cr
Level $2667$
Weight $2$
Character orbit 2667.cr
Rep. character $\chi_{2667}(202,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $1020$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.cr (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 889 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 2076 1020 1056
Cusp forms 2028 1020 1008
Eisenstein series 48 0 48

Trace form

\( 1020 q + 1008 q^{4} - 6 q^{7} + 12 q^{8} + O(q^{10}) \) \( 1020 q + 1008 q^{4} - 6 q^{7} + 12 q^{8} - 12 q^{11} + 60 q^{14} - 24 q^{15} + 984 q^{16} + 6 q^{18} + 6 q^{22} - 12 q^{23} - 498 q^{25} + 6 q^{28} - 96 q^{30} + 24 q^{32} - 6 q^{35} + 12 q^{36} - 18 q^{37} + 6 q^{39} + 6 q^{42} - 12 q^{43} + 36 q^{44} - 66 q^{46} - 54 q^{49} + 60 q^{53} + 132 q^{56} + 72 q^{57} - 42 q^{58} - 72 q^{60} + 852 q^{64} - 24 q^{65} - 30 q^{67} - 54 q^{70} + 24 q^{71} + 12 q^{72} + 18 q^{74} - 42 q^{79} - 24 q^{84} - 48 q^{85} + 168 q^{86} - 162 q^{88} - 30 q^{91} - 150 q^{92} + 18 q^{93} - 24 q^{98} + 24 q^{99} + O(q^{100}) \)

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

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