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Properties

Label 2664.2.eu
Level $2664$
Weight $2$
Character orbit 2664.eu
Rep. character $\chi_{2664}(707,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $2712$
Sturm bound $912$

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Defining parameters

Level: \( N \) \(=\) \( 2664 = 2^{3} \cdot 3^{2} \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2664.eu (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2664 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2664, [\chi])\).

Total New Old
Modular forms 2760 2760 0
Cusp forms 2712 2712 0
Eisenstein series 48 48 0

Trace form

\( 2712 q - 9 q^{2} - 12 q^{3} - 3 q^{4} - 12 q^{9} + O(q^{10}) \) \( 2712 q - 9 q^{2} - 12 q^{3} - 3 q^{4} - 12 q^{9} - 6 q^{10} + 9 q^{12} - 18 q^{14} - 3 q^{16} - 27 q^{18} - 24 q^{19} - 72 q^{20} + 21 q^{22} + 9 q^{24} - 6 q^{25} - 6 q^{27} - 12 q^{28} + 33 q^{30} - 9 q^{32} + 24 q^{33} - 3 q^{34} - 12 q^{36} - 18 q^{38} - 33 q^{40} - 18 q^{41} - 6 q^{42} + 36 q^{44} - 6 q^{46} - 3 q^{48} - 6 q^{49} - 54 q^{50} - 18 q^{51} - 3 q^{52} - 75 q^{54} + 54 q^{56} - 12 q^{57} + 21 q^{58} - 18 q^{59} - 9 q^{60} - 6 q^{64} - 18 q^{65} + 45 q^{66} - 6 q^{67} - 117 q^{68} + 15 q^{70} - 144 q^{72} - 48 q^{73} - 9 q^{74} - 24 q^{75} - 3 q^{76} - 39 q^{78} - 12 q^{81} - 18 q^{82} - 18 q^{83} - 75 q^{84} - 9 q^{86} - 9 q^{88} + 132 q^{90} - 24 q^{91} - 9 q^{92} + 9 q^{94} + 45 q^{96} - 18 q^{97} + 63 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2664, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.