Properties

Label 1143.2.g
Level $1143$
Weight $2$
Character orbit 1143.g
Rep. character $\chi_{1143}(400,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $252$
Sturm bound $256$

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Defining parameters

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

\( 252 q - 2 q^{2} - q^{3} - 126 q^{4} + 2 q^{5} + 7 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9} + O(q^{10}) \) \( 252 q - 2 q^{2} - q^{3} - 126 q^{4} + 2 q^{5} + 7 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9} + q^{11} + 7 q^{14} + 19 q^{15} - 126 q^{16} + q^{17} - 13 q^{18} - 6 q^{19} + 22 q^{20} - 12 q^{21} + 6 q^{22} + 8 q^{23} + 24 q^{24} - 120 q^{25} + 2 q^{26} - 16 q^{27} + 12 q^{28} + 19 q^{29} + 22 q^{30} - 3 q^{31} + 14 q^{32} - 7 q^{33} + 3 q^{34} - 3 q^{35} - 25 q^{36} - 3 q^{37} + 33 q^{39} - 12 q^{40} + 10 q^{41} - 36 q^{42} + 9 q^{43} - q^{44} - 16 q^{45} - 12 q^{46} - 2 q^{47} + 18 q^{48} + 210 q^{49} - 20 q^{50} + 16 q^{51} + 54 q^{52} + 10 q^{53} - 45 q^{54} - 3 q^{55} - 64 q^{56} - 34 q^{57} - 36 q^{58} - 94 q^{59} + 68 q^{60} - 3 q^{61} + 68 q^{62} - 21 q^{63} + 222 q^{64} - 14 q^{65} - 19 q^{66} - 6 q^{67} - 26 q^{68} - 45 q^{69} - 36 q^{70} - 8 q^{71} - 29 q^{72} + 6 q^{73} - 17 q^{74} + 10 q^{75} - 6 q^{76} - 13 q^{77} + 63 q^{78} + 12 q^{79} - 78 q^{80} - q^{81} + 9 q^{82} + 25 q^{83} - 6 q^{84} - 12 q^{85} - 62 q^{86} - 60 q^{87} - 9 q^{88} - 70 q^{89} + 2 q^{90} - 27 q^{91} - 164 q^{92} + 25 q^{93} - 18 q^{94} + 46 q^{95} - 102 q^{96} - 6 q^{97} - 62 q^{98} + 63 q^{99} + O(q^{100}) \)

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

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