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Properties

Label 1143.3.m
Level $1143$
Weight $3$
Character orbit 1143.m
Rep. character $\chi_{1143}(274,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $508$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 1143.m (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(1143, [\chi])\).

Total New Old
Modular forms 516 516 0
Cusp forms 508 508 0
Eisenstein series 8 8 0

Trace form

\( 508 q - 2 q^{2} - 3 q^{3} - 506 q^{4} + 6 q^{6} - 3 q^{7} + 26 q^{8} + 31 q^{9} + O(q^{10}) \) \( 508 q - 2 q^{2} - 3 q^{3} - 506 q^{4} + 6 q^{6} - 3 q^{7} + 26 q^{8} + 31 q^{9} - 2 q^{11} + 69 q^{12} + 8 q^{13} - 11 q^{15} - 1002 q^{16} - 11 q^{17} + 69 q^{18} + 6 q^{19} - 15 q^{21} - 7 q^{22} + 6 q^{24} + 1228 q^{25} - 76 q^{26} + 180 q^{27} + 54 q^{28} + 105 q^{30} - 34 q^{31} - 24 q^{32} - 99 q^{33} - 10 q^{34} + 27 q^{35} + 176 q^{36} - 13 q^{37} + 26 q^{38} + 273 q^{39} - 113 q^{41} + 7 q^{42} - 159 q^{44} - 147 q^{45} + 6 q^{46} - 2 q^{47} - 63 q^{48} + 1693 q^{49} - 164 q^{50} - 49 q^{52} - 6 q^{53} - 459 q^{54} - 45 q^{55} - 282 q^{56} - 30 q^{57} - 114 q^{58} - 219 q^{59} - 3 q^{60} - 57 q^{61} - 358 q^{62} - 123 q^{63} + 4038 q^{64} - 369 q^{65} - 129 q^{66} - 63 q^{68} + 339 q^{69} + 42 q^{70} + 88 q^{71} - 668 q^{72} + 90 q^{73} + 62 q^{74} - 78 q^{75} - 74 q^{76} - 159 q^{77} - 225 q^{78} - 42 q^{79} + 219 q^{81} + 101 q^{82} + 236 q^{84} + 72 q^{85} - 789 q^{86} + 472 q^{87} - 50 q^{88} + 1329 q^{90} + 417 q^{91} + 468 q^{92} - 204 q^{93} + 392 q^{94} - 1224 q^{95} - 624 q^{96} - 3 q^{97} + 844 q^{98} - 513 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{3}^{\mathrm{new}}(1143, [\chi])\) into newform subspaces

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