Properties

Label 2016.2.fs
Level 2016
Weight 2
Character orbit fs
Rep. character \(\chi_{2016}(205,\cdot)\)
Character field \(\Q(\zeta_{24})\)
Dimension 3040
Sturm bound 768

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Defining parameters

Level: \( N \) = \( 2016 = 2^{5} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 2016.fs (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2016 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2016, [\chi])\).

Total New Old
Modular forms 3104 3104 0
Cusp forms 3040 3040 0
Eisenstein series 64 64 0

Trace form

\( 3040q + 4q^{2} - 4q^{3} + 4q^{4} - 8q^{5} - 16q^{6} - 4q^{7} - 32q^{8} - 4q^{9} + O(q^{10}) \) \( 3040q + 4q^{2} - 4q^{3} + 4q^{4} - 8q^{5} - 16q^{6} - 4q^{7} - 32q^{8} - 4q^{9} - 8q^{10} - 8q^{11} - 4q^{12} - 8q^{13} - 4q^{14} + 4q^{16} - 4q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{22} - 8q^{23} + 36q^{24} - 8q^{25} - 8q^{26} - 16q^{27} - 16q^{28} - 8q^{29} - 100q^{30} + 8q^{31} + 4q^{32} - 8q^{33} - 16q^{34} - 16q^{35} + 24q^{36} - 8q^{37} - 8q^{38} - 4q^{39} - 8q^{40} - 8q^{41} - 28q^{42} - 8q^{43} - 52q^{44} - 4q^{45} - 8q^{46} - 16q^{48} - 8q^{50} - 28q^{51} - 8q^{52} - 8q^{53} + 172q^{54} - 32q^{55} + 156q^{56} - 16q^{57} - 8q^{58} + 4q^{59} - 36q^{60} + 4q^{61} - 48q^{62} - 16q^{63} - 32q^{64} + 8q^{65} + 12q^{66} + 4q^{67} - 72q^{68} - 16q^{69} - 4q^{70} - 32q^{71} - 4q^{72} - 8q^{73} - 8q^{74} + 16q^{75} - 8q^{76} - 4q^{77} + 60q^{78} - 8q^{80} - 8q^{82} - 48q^{83} - 28q^{84} - 28q^{85} - 8q^{86} - 4q^{87} - 8q^{88} - 8q^{89} - 88q^{90} - 16q^{91} - 8q^{92} + 20q^{93} - 28q^{94} + 8q^{95} - 72q^{96} - 16q^{97} - 76q^{98} - 16q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2016, [\chi])\) into newform subspaces

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

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database