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Properties

Label 2169.2.cu
Level $2169$
Weight $2$
Character orbit 2169.cu
Rep. character $\chi_{2169}(11,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $3840$
Sturm bound $484$

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Defining parameters

Level: \( N \) \(=\) \( 2169 = 3^{2} \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2169.cu (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2169 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(484\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2169, [\chi])\).

Total New Old
Modular forms 3904 3904 0
Cusp forms 3840 3840 0
Eisenstein series 64 64 0

Trace form

\( 3840 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 8 q^{6} - 8 q^{7} + O(q^{10}) \) \( 3840 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 8 q^{6} - 8 q^{7} - 48 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 8 q^{15} - 24 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} + 16 q^{21} - 8 q^{22} - 24 q^{23} - 8 q^{24} - 8 q^{25} - 16 q^{27} - 24 q^{29} + 72 q^{30} + 24 q^{31} - 24 q^{32} - 40 q^{33} - 8 q^{34} - 32 q^{37} - 24 q^{38} - 16 q^{39} + 24 q^{40} + 24 q^{41} - 16 q^{42} - 56 q^{43} + 32 q^{45} - 80 q^{46} - 24 q^{47} - 8 q^{48} - 56 q^{49} - 144 q^{50} + 144 q^{51} - 40 q^{52} - 8 q^{54} + 16 q^{55} - 24 q^{56} + 40 q^{57} - 24 q^{58} + 144 q^{59} - 32 q^{60} + 88 q^{61} + 96 q^{63} + 96 q^{64} + 120 q^{65} + 48 q^{66} - 8 q^{67} - 24 q^{68} - 48 q^{69} - 24 q^{70} - 144 q^{73} - 24 q^{74} - 56 q^{75} - 312 q^{76} - 24 q^{77} + 112 q^{78} - 8 q^{79} - 120 q^{80} + 312 q^{81} - 56 q^{82} - 24 q^{83} + 176 q^{84} - 8 q^{85} - 24 q^{86} - 32 q^{87} - 8 q^{88} - 88 q^{90} - 64 q^{91} + 216 q^{92} + 24 q^{93} - 16 q^{94} - 24 q^{95} - 128 q^{96} + 88 q^{97} - 184 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2169, [\chi])\) into newform subspaces

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