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Properties

Label 2664.2.ev
Level $2664$
Weight $2$
Character orbit 2664.ev
Rep. character $\chi_{2664}(373,\cdot)$
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.ev (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

\( 2712 q - 3 q^{2} - 3 q^{4} - 6 q^{7} - 18 q^{8} - 12 q^{9} + O(q^{10}) \) \( 2712 q - 3 q^{2} - 3 q^{4} - 6 q^{7} - 18 q^{8} - 12 q^{9} - 6 q^{10} + 9 q^{12} - 12 q^{15} - 3 q^{16} - 24 q^{17} + 15 q^{18} + 18 q^{20} + 21 q^{22} - 3 q^{24} - 6 q^{25} - 6 q^{26} - 12 q^{28} + 45 q^{30} + 27 q^{32} + 24 q^{33} - 3 q^{34} - 12 q^{36} - 6 q^{38} - 12 q^{39} + 27 q^{40} - 6 q^{41} - 42 q^{42} - 6 q^{46} - 114 q^{47} - 3 q^{48} - 6 q^{49} + 12 q^{50} - 3 q^{52} + 51 q^{54} + 6 q^{55} - 24 q^{56} - 12 q^{57} - 27 q^{58} - 9 q^{60} - 24 q^{62} - 6 q^{63} - 6 q^{64} - 6 q^{65} + 45 q^{66} + 117 q^{68} - 21 q^{70} - 24 q^{71} - 36 q^{72} - 48 q^{73} - 3 q^{74} - 3 q^{76} - 39 q^{78} - 6 q^{79} - 12 q^{81} - 18 q^{82} - 15 q^{84} + 165 q^{86} + 36 q^{87} - 9 q^{88} - 24 q^{89} - 6 q^{90} + 243 q^{92} + 9 q^{94} - 6 q^{95} + 111 q^{96} - 18 q^{97} + 9 q^{98} + O(q^{100}) \)

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.