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Properties

Label 1143.2.w
Level $1143$
Weight $2$
Character orbit 1143.w
Rep. character $\chi_{1143}(103,\cdot)$
Character field $\Q(\zeta_{9})$
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.w (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{9})\)
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

\( 756 q - 6 q^{2} - 6 q^{3} - 378 q^{4} - 30 q^{5} + 9 q^{6} - 3 q^{7} - 6 q^{9} + O(q^{10}) \) \( 756 q - 6 q^{2} - 6 q^{3} - 378 q^{4} - 30 q^{5} + 9 q^{6} - 3 q^{7} - 6 q^{9} - 3 q^{11} + 18 q^{12} + 21 q^{14} - 15 q^{15} - 378 q^{16} - 21 q^{17} - 24 q^{18} - 6 q^{19} + 21 q^{20} - 36 q^{21} + 9 q^{22} - 12 q^{23} + 36 q^{24} + 702 q^{25} - 60 q^{26} - 3 q^{27} + 24 q^{28} - 21 q^{29} + 3 q^{30} + 9 q^{31} - 6 q^{32} - 3 q^{33} - 9 q^{34} - 9 q^{35} + 51 q^{36} - 18 q^{37} - 18 q^{38} - 54 q^{39} - 36 q^{40} - 51 q^{41} + 63 q^{42} - 3 q^{43} + 39 q^{44} - 6 q^{45} + 3 q^{47} - 51 q^{48} - 21 q^{49} - 39 q^{50} - 3 q^{51} - 9 q^{52} - 12 q^{53} + 3 q^{54} - 63 q^{55} - 24 q^{56} + 3 q^{57} - 18 q^{58} - 21 q^{59} + 90 q^{60} + 3 q^{61} - 72 q^{62} - 21 q^{63} + 720 q^{64} + 9 q^{65} + 57 q^{66} - 45 q^{67} + 69 q^{68} - 42 q^{69} + 9 q^{70} - 12 q^{71} + 63 q^{72} - 6 q^{73} + 39 q^{74} - 18 q^{75} + 3 q^{76} + 75 q^{77} + 138 q^{78} + 18 q^{79} + 63 q^{80} + 18 q^{81} - 27 q^{82} - 3 q^{83} - 222 q^{84} - 18 q^{85} + 39 q^{86} + 24 q^{87} - 81 q^{88} + 84 q^{89} - 63 q^{90} - 15 q^{91} - 78 q^{92} - 108 q^{93} + 126 q^{94} + 81 q^{95} - 168 q^{96} - 3 q^{97} + 186 q^{98} - 174 q^{99} + O(q^{100}) \)

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.