Properties

Label 2169.2.dr
Level $2169$
Weight $2$
Character orbit 2169.dr
Rep. character $\chi_{2169}(14,\cdot)$
Character field $\Q(\zeta_{240})$
Dimension $15360$
Sturm bound $484$

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Defining parameters

Level: \( N \) \(=\) \( 2169 = 3^{2} \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2169.dr (of order \(240\) and degree \(64\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2169 \)
Character field: \(\Q(\zeta_{240})\)
Sturm bound: \(484\)

Dimensions

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

Total New Old
Modular forms 15616 15616 0
Cusp forms 15360 15360 0
Eisenstein series 256 256 0

Trace form

\( 15360 q - 96 q^{2} - 64 q^{3} - 32 q^{4} - 96 q^{5} - 72 q^{6} - 32 q^{7} - 80 q^{9} + O(q^{10}) \) \( 15360 q - 96 q^{2} - 64 q^{3} - 32 q^{4} - 96 q^{5} - 72 q^{6} - 32 q^{7} - 80 q^{9} - 112 q^{10} - 96 q^{11} - 64 q^{12} - 32 q^{13} - 96 q^{14} - 32 q^{15} - 96 q^{16} - 64 q^{18} - 128 q^{19} - 96 q^{20} - 96 q^{21} - 32 q^{22} - 96 q^{23} - 72 q^{24} - 32 q^{25} - 64 q^{27} - 160 q^{28} - 96 q^{29} + 8 q^{30} - 64 q^{31} - 96 q^{32} - 40 q^{33} - 32 q^{34} - 80 q^{36} - 128 q^{37} - 96 q^{38} - 64 q^{39} - 64 q^{40} - 144 q^{41} - 64 q^{42} + 16 q^{43} - 112 q^{45} - 320 q^{46} - 96 q^{47} - 192 q^{48} - 224 q^{49} + 24 q^{50} - 224 q^{51} - 72 q^{54} - 176 q^{55} - 96 q^{56} - 120 q^{57} - 16 q^{58} - 264 q^{59} + 112 q^{60} - 128 q^{61} - 176 q^{63} - 96 q^{64} - 240 q^{65} + 192 q^{66} - 32 q^{67} - 96 q^{68} - 32 q^{69} - 16 q^{70} - 80 q^{72} - 16 q^{73} - 96 q^{74} - 224 q^{75} - 448 q^{76} - 96 q^{77} - 192 q^{78} - 32 q^{79} - 480 q^{80} - 392 q^{81} - 104 q^{82} - 96 q^{83} - 256 q^{84} - 32 q^{85} - 96 q^{86} - 48 q^{87} - 32 q^{88} + 8 q^{90} - 96 q^{91} - 336 q^{92} - 104 q^{93} - 24 q^{94} - 96 q^{95} - 192 q^{96} - 128 q^{97} + 104 q^{99} + O(q^{100}) \)

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

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