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Properties

Label 1143.3.bf
Level $1143$
Weight $3$
Character orbit 1143.bf
Rep. character $\chi_{1143}(164,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $1524$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 1143.bf (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(384\)

Dimensions

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

Total New Old
Modular forms 1548 1548 0
Cusp forms 1524 1524 0
Eisenstein series 24 24 0

Trace form

\( 1524 q - 18 q^{2} - 6 q^{3} + 1506 q^{4} - 9 q^{6} - 3 q^{7} - 6 q^{9} + O(q^{10}) \) \( 1524 q - 18 q^{2} - 6 q^{3} + 1506 q^{4} - 9 q^{6} - 3 q^{7} - 6 q^{9} - 18 q^{10} - 9 q^{11} - 36 q^{12} + 12 q^{13} - 9 q^{14} + 57 q^{15} - 2958 q^{16} - 81 q^{17} - 114 q^{18} - 6 q^{19} - 45 q^{20} + 126 q^{21} - 27 q^{22} + 72 q^{23} + 72 q^{24} - 7386 q^{25} + 216 q^{26} - 3 q^{27} + 60 q^{28} + 315 q^{29} + 345 q^{30} - 51 q^{31} + 270 q^{32} - 3 q^{33} + 9 q^{34} + 225 q^{35} - 219 q^{36} - 78 q^{37} + 378 q^{39} - 117 q^{41} + 225 q^{42} - 3 q^{43} + 297 q^{44} - 60 q^{45} - 36 q^{46} - 9 q^{47} - 87 q^{48} + 69 q^{49} + 441 q^{50} - 3 q^{51} + 345 q^{52} + 705 q^{54} - 9 q^{55} + 1044 q^{56} + 21 q^{57} - 162 q^{58} - 657 q^{59} + 234 q^{60} + 3 q^{61} - 486 q^{62} - 129 q^{63} - 11400 q^{64} - 9 q^{65} + 597 q^{66} - 213 q^{67} + 135 q^{68} + 282 q^{69} + 243 q^{70} + 153 q^{72} - 6 q^{73} - 45 q^{74} - 198 q^{75} + 75 q^{76} + 207 q^{77} - 384 q^{78} - 132 q^{79} + 45 q^{80} + 558 q^{81} - 333 q^{82} - 9 q^{83} - 1536 q^{84} + 72 q^{85} + 1341 q^{86} - 426 q^{87} + 369 q^{88} - 648 q^{89} - 1341 q^{90} + 603 q^{91} + 1116 q^{92} + 324 q^{93} - 1458 q^{94} + 207 q^{95} + 930 q^{96} - 3 q^{97} + 186 q^{99} + O(q^{100}) \)

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.