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Properties

Label 1143.3.bh
Level $1143$
Weight $3$
Character orbit 1143.bh
Rep. character $\chi_{1143}(68,\cdot)$
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.bh (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

\( 1524 q - 18 q^{2} - 6 q^{3} + 1506 q^{4} - 9 q^{5} - 36 q^{6} - 3 q^{7} - 6 q^{9} + O(q^{10}) \) \( 1524 q - 18 q^{2} - 6 q^{3} + 1506 q^{4} - 9 q^{5} - 36 q^{6} - 3 q^{7} - 6 q^{9} - 18 q^{10} - 9 q^{11} - 36 q^{12} - 33 q^{13} + 99 q^{14} - 51 q^{15} - 2958 q^{16} + 81 q^{17} + 30 q^{18} - 6 q^{19} - 153 q^{21} - 27 q^{22} + 72 q^{23} + 72 q^{24} + 3693 q^{25} - 216 q^{26} - 3 q^{27} + 60 q^{28} + 315 q^{29} - 258 q^{30} - 51 q^{31} + 270 q^{32} - 3 q^{33} + 9 q^{34} - 225 q^{35} + 528 q^{36} - 78 q^{37} - 45 q^{38} - 378 q^{39} - 9 q^{41} + 126 q^{42} - 3 q^{43} - 297 q^{44} - 285 q^{45} - 36 q^{46} + 453 q^{48} - 147 q^{49} - 3 q^{51} - 15 q^{52} + 165 q^{54} - 9 q^{55} + 396 q^{56} + 21 q^{57} + 243 q^{58} - 9 q^{59} - 45 q^{60} - 6 q^{61} + 486 q^{62} - 129 q^{63} - 11400 q^{64} - 657 q^{65} + 633 q^{66} + 102 q^{67} + 783 q^{68} - 150 q^{69} - 108 q^{70} + 72 q^{72} - 6 q^{73} - 477 q^{74} + 522 q^{75} - 150 q^{76} - 96 q^{78} + 255 q^{79} - 45 q^{80} - 270 q^{81} - 333 q^{82} - 9 q^{83} - 654 q^{84} - 153 q^{85} + 423 q^{86} - 381 q^{87} + 261 q^{88} + 648 q^{89} - 369 q^{90} + 603 q^{91} + 603 q^{92} - 711 q^{93} + 729 q^{94} + 207 q^{95} + 993 q^{96} - 3 q^{97} + 762 q^{99} + O(q^{100}) \)

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.