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Properties

Label 2169.2.bz
Level $2169$
Weight $2$
Character orbit 2169.bz
Rep. character $\chi_{2169}(211,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $1920$
Sturm bound $484$

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Defining parameters

Level: \( N \) \(=\) \( 2169 = 3^{2} \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2169.bz (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2169 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(484\)

Dimensions

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

Total New Old
Modular forms 1952 1952 0
Cusp forms 1920 1920 0
Eisenstein series 32 32 0

Trace form

\( 1920 q - 4 q^{2} - 8 q^{3} - 4 q^{5} - 4 q^{7} - 32 q^{8} + O(q^{10}) \) \( 1920 q - 4 q^{2} - 8 q^{3} - 4 q^{5} - 4 q^{7} - 32 q^{8} - 32 q^{10} - 4 q^{11} - 48 q^{12} - 4 q^{13} + 24 q^{14} - 16 q^{15} + 928 q^{16} + 8 q^{17} - 16 q^{18} - 16 q^{19} - 44 q^{20} - 4 q^{22} + 8 q^{23} - 48 q^{24} - 16 q^{26} - 20 q^{27} - 80 q^{28} + 8 q^{29} - 12 q^{30} + 12 q^{31} + 28 q^{32} + 24 q^{33} + 8 q^{34} - 16 q^{35} + 8 q^{36} - 16 q^{37} + 20 q^{38} - 8 q^{39} - 12 q^{41} - 32 q^{42} - 32 q^{43} - 72 q^{44} - 88 q^{45} + 32 q^{46} - 4 q^{47} - 36 q^{48} - 32 q^{49} + 60 q^{50} + 32 q^{51} - 20 q^{52} - 16 q^{53} - 16 q^{54} - 64 q^{55} - 36 q^{56} + 12 q^{57} - 8 q^{58} - 32 q^{59} - 28 q^{61} - 16 q^{62} - 92 q^{63} + 120 q^{66} + 8 q^{67} + 20 q^{68} + 8 q^{69} + 16 q^{70} - 16 q^{71} - 52 q^{72} - 72 q^{73} - 4 q^{74} - 32 q^{75} + 16 q^{76} - 68 q^{77} - 16 q^{78} - 28 q^{79} - 152 q^{80} + 40 q^{81} + 64 q^{84} - 52 q^{85} + 44 q^{86} - 56 q^{87} - 136 q^{89} + 80 q^{91} - 116 q^{93} - 8 q^{94} - 68 q^{95} + 112 q^{98} + 40 q^{99} + O(q^{100}) \)

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.