↑

Properties

Label 1143.2.n
Level $1143$
Weight $2$
Character orbit 1143.n
Rep. character $\chi_{1143}(20,\cdot)$
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.n (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

\( 252 q - 6 q^{2} - 3 q^{3} + 122 q^{4} - 9 q^{6} - 5 q^{9} + O(q^{10}) \) \( 252 q - 6 q^{2} - 3 q^{3} + 122 q^{4} - 9 q^{6} - 5 q^{9} - 3 q^{11} - 18 q^{12} - 9 q^{14} + 19 q^{15} - 118 q^{16} - 9 q^{17} - 21 q^{18} - 10 q^{19} + 12 q^{21} - 10 q^{22} - 12 q^{23} + 18 q^{24} - 120 q^{25} + 30 q^{26} - 18 q^{27} - 21 q^{29} - 12 q^{30} - 3 q^{31} - 30 q^{32} + 9 q^{33} - q^{34} + 15 q^{35} - 13 q^{36} - 3 q^{37} - 36 q^{38} - 3 q^{39} + 46 q^{42} - 3 q^{43} - 51 q^{44} + 42 q^{45} - 12 q^{46} - 6 q^{47} - 222 q^{49} + 36 q^{50} + 46 q^{52} + 27 q^{54} + 27 q^{55} - 12 q^{56} - 12 q^{57} + 30 q^{59} - q^{61} + 78 q^{62} + 69 q^{63} - 242 q^{64} + 66 q^{65} - 51 q^{66} - 24 q^{67} + 15 q^{69} + 18 q^{71} - 101 q^{72} - 22 q^{73} + 99 q^{74} - 30 q^{75} - 22 q^{76} + 9 q^{77} + 51 q^{78} - 16 q^{79} + 162 q^{80} + 39 q^{81} + 5 q^{82} - 3 q^{83} + 68 q^{84} - 114 q^{86} - 26 q^{87} - 5 q^{88} - 54 q^{89} + 6 q^{90} + 3 q^{91} + 24 q^{92} + 69 q^{93} - 10 q^{94} - 6 q^{95} + 174 q^{96} - 66 q^{98} - 45 q^{99} + O(q^{100}) \)

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.