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Properties

Label 1143.2.bg
Level $1143$
Weight $2$
Character orbit 1143.bg
Rep. character $\chi_{1143}(59,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $756$
Sturm bound $256$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.bg (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

\( 756 q - 18 q^{2} - 6 q^{3} + 366 q^{4} - 9 q^{5} - 30 q^{6} - 3 q^{7} - 6 q^{9} + O(q^{10}) \) \( 756 q - 18 q^{2} - 6 q^{3} + 366 q^{4} - 9 q^{5} - 30 q^{6} - 3 q^{7} - 6 q^{9} - 36 q^{10} - 9 q^{11} + 6 q^{12} - 9 q^{13} + 9 q^{14} - 15 q^{15} - 354 q^{16} - 27 q^{17} - 6 q^{19} - 54 q^{20} + 9 q^{21} - 15 q^{22} - 36 q^{23} + 24 q^{24} - 351 q^{25} + 72 q^{26} - 9 q^{27} - 63 q^{29} + 48 q^{30} + 9 q^{31} + 54 q^{32} - 9 q^{33} + 3 q^{34} + 45 q^{35} + 42 q^{36} - 18 q^{37} - 27 q^{38} - 36 q^{39} - 36 q^{40} - 9 q^{41} + 24 q^{42} - 3 q^{43} + 99 q^{44} + 3 q^{45} - 24 q^{46} + 27 q^{48} - 39 q^{49} - 9 q^{51} + 15 q^{52} - 9 q^{54} + 9 q^{55} + 36 q^{56} + 3 q^{57} + 39 q^{58} - 9 q^{59} + 33 q^{60} - 6 q^{61} - 162 q^{62} - 27 q^{63} - 672 q^{64} - 117 q^{65} - 27 q^{66} - 24 q^{67} - 81 q^{68} - 24 q^{69} + 36 q^{70} + 138 q^{72} - 6 q^{73} - 99 q^{74} + 90 q^{75} - 54 q^{76} - 162 q^{77} - 156 q^{78} + 39 q^{79} - 9 q^{80} - 66 q^{81} - 51 q^{82} - 9 q^{83} + 30 q^{84} + 27 q^{85} + 63 q^{86} + 45 q^{87} + 15 q^{88} + 54 q^{89} + 93 q^{90} - 57 q^{91} - 135 q^{92} + 135 q^{93} - 39 q^{94} + 45 q^{95} + 99 q^{96} - 3 q^{97} + 18 q^{99} + O(q^{100}) \)

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.