Properties

Label 1143.2.bi
Level $1143$
Weight $2$
Character orbit 1143.bi
Rep. character $\chi_{1143}(329,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $756$
Sturm bound $256$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.bi (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(256\)

Dimensions

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

Total New Old
Modular forms 780 780 0
Cusp forms 756 756 0
Eisenstein series 24 24 0

Trace form

\( 756 q - 18 q^{2} - 6 q^{3} + 366 q^{4} - 18 q^{5} - 3 q^{6} - 3 q^{7} - 6 q^{9} + O(q^{10}) \) \( 756 q - 18 q^{2} - 6 q^{3} + 366 q^{4} - 18 q^{5} - 3 q^{6} - 3 q^{7} - 6 q^{9} - 36 q^{10} - 9 q^{11} + 6 q^{12} - 9 q^{14} - 15 q^{15} - 354 q^{16} + 27 q^{17} - 36 q^{18} - 6 q^{19} - 27 q^{20} - 36 q^{21} - 15 q^{22} - 36 q^{23} + 24 q^{24} + 702 q^{25} - 72 q^{26} - 9 q^{27} - 63 q^{29} - 123 q^{30} + 9 q^{31} + 54 q^{32} - 9 q^{33} + 3 q^{34} - 45 q^{35} - 21 q^{36} - 18 q^{37} + 18 q^{39} + 27 q^{41} - 75 q^{42} - 3 q^{43} - 99 q^{44} - 42 q^{45} - 24 q^{46} - 9 q^{47} + 81 q^{48} + 15 q^{49} - 99 q^{50} - 9 q^{51} + 51 q^{52} - 27 q^{54} + 9 q^{55} + 90 q^{56} + 3 q^{57} - 42 q^{58} - 63 q^{59} - 120 q^{60} + 3 q^{61} + 162 q^{62} + 27 q^{63} - 672 q^{64} - 9 q^{65} - 9 q^{66} + 39 q^{67} + 27 q^{68} + 30 q^{69} - 63 q^{70} - 51 q^{72} - 6 q^{73} - 27 q^{74} - 90 q^{75} + 27 q^{76} - 81 q^{77} + 42 q^{78} - 24 q^{79} + 9 q^{80} - 102 q^{81} - 51 q^{82} - 9 q^{83} + 66 q^{84} - 18 q^{85} + 81 q^{86} + 90 q^{87} + 123 q^{88} - 54 q^{89} - 123 q^{90} - 57 q^{91} - 306 q^{92} + 36 q^{93} + 78 q^{94} - 45 q^{95} + 90 q^{96} - 3 q^{97} + 162 q^{99} + O(q^{100}) \)

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

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