↑

Properties

Label 1143.2.o
Level $1143$
Weight $2$
Character orbit 1143.o
Rep. character $\chi_{1143}(362,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $252$
Sturm bound $256$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.o (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(256\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1143, [\chi])\).

Total New Old
Modular forms 260 260 0
Cusp forms 252 252 0
Eisenstein series 8 8 0

Trace form

\( 252 q - 6 q^{2} - 3 q^{3} + 122 q^{4} + 6 q^{6} - 3 q^{7} + 7 q^{9} + O(q^{10}) \) \( 252 q - 6 q^{2} - 3 q^{3} + 122 q^{4} + 6 q^{6} - 3 q^{7} + 7 q^{9} - 3 q^{12} - 18 q^{14} + q^{15} - 118 q^{16} + 9 q^{17} + 15 q^{18} - 10 q^{19} - 3 q^{21} + 5 q^{22} - 24 q^{23} + 60 q^{24} - 120 q^{25} - 30 q^{26} + 18 q^{27} - 42 q^{29} - 21 q^{30} + 6 q^{31} - 30 q^{32} - 9 q^{33} + 2 q^{34} - 15 q^{35} + 14 q^{36} - 3 q^{37} - 36 q^{38} + 3 q^{39} - 27 q^{41} - 35 q^{42} + 51 q^{44} + 15 q^{45} - 12 q^{46} - 6 q^{47} + 27 q^{48} + 111 q^{49} + 36 q^{50} - 23 q^{52} - 27 q^{54} + 27 q^{55} - 6 q^{56} - 12 q^{57} - 42 q^{58} + 15 q^{59} + 93 q^{60} - q^{61} - 78 q^{62} - 69 q^{63} - 242 q^{64} + 33 q^{65} + 51 q^{66} + 45 q^{68} - 9 q^{69} - 18 q^{71} + 46 q^{72} - 22 q^{73} + 12 q^{75} - 22 q^{76} - 9 q^{77} - 45 q^{78} + 8 q^{79} - 162 q^{80} - 33 q^{81} + 5 q^{82} - 6 q^{83} + 32 q^{84} - 18 q^{85} - 57 q^{86} - 26 q^{87} + 10 q^{88} + 54 q^{89} - 3 q^{90} + 3 q^{91} + 12 q^{92} + 66 q^{93} - 10 q^{94} + 6 q^{95} + 96 q^{96} - 3 q^{97} + 66 q^{98} + 27 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1143, [\chi])\) into newform subspaces

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