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Properties

Label 1143.3.cj
Level $1143$
Weight $3$
Character orbit 1143.cj
Rep. character $\chi_{1143}(43,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $9144$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 1143.cj (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(384\)

Dimensions

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

Total New Old
Modular forms 9288 9288 0
Cusp forms 9144 9144 0
Eisenstein series 144 144 0

Trace form

\( 9144 q - 15 q^{2} - 36 q^{3} + 1497 q^{4} - 21 q^{5} - 57 q^{6} - 18 q^{7} - 108 q^{8} - 36 q^{9} + O(q^{10}) \) \( 9144 q - 15 q^{2} - 36 q^{3} + 1497 q^{4} - 21 q^{5} - 57 q^{6} - 18 q^{7} - 108 q^{8} - 36 q^{9} - 102 q^{10} - 18 q^{11} - 30 q^{12} - 33 q^{13} - 114 q^{14} - 99 q^{15} + 2985 q^{16} - 99 q^{17} + 48 q^{18} - 36 q^{19} - 306 q^{20} + 336 q^{21} - 42 q^{22} - 45 q^{23} - 102 q^{24} + 7365 q^{25} + 156 q^{26} - 33 q^{27} - 192 q^{28} - 126 q^{29} - 369 q^{30} + 30 q^{31} + 33 q^{32} - 33 q^{33} - 6 q^{34} + 15 q^{35} - 147 q^{36} - 6 q^{37} - 75 q^{38} - 12 q^{39} - 189 q^{40} + 522 q^{41} + 195 q^{42} - 18 q^{43} - 723 q^{44} + 738 q^{45} - 96 q^{46} - 24 q^{47} - 267 q^{48} + 54 q^{49} - 150 q^{50} - 33 q^{51} + 138 q^{52} - 72 q^{53} - 1329 q^{54} - 219 q^{55} + 261 q^{56} + 126 q^{57} + 93 q^{58} + 198 q^{59} - 327 q^{60} - 24 q^{61} - 933 q^{62} - 393 q^{63} - 11820 q^{64} - 750 q^{65} - 33 q^{66} - 228 q^{67} + 438 q^{68} + 252 q^{69} + 348 q^{70} - 72 q^{71} + 27 q^{72} - 78 q^{73} - 294 q^{74} + 1596 q^{75} + 624 q^{76} + 780 q^{77} - 1173 q^{78} - 147 q^{79} + 1017 q^{80} + 1416 q^{81} + 201 q^{82} - 18 q^{83} + 4554 q^{84} - 93 q^{85} + 336 q^{86} - 222 q^{87} - 342 q^{88} + 582 q^{89} - 189 q^{90} - 225 q^{91} - 489 q^{92} - 942 q^{93} + 1341 q^{94} - 492 q^{95} - 1914 q^{96} - 18 q^{97} + 498 q^{98} + 156 q^{99} + O(q^{100}) \)

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.