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Properties

Label 1143.3.bp
Level $1143$
Weight $3$
Character orbit 1143.bp
Rep. character $\chi_{1143}(47,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3048$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 1143.bp (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(384\)

Dimensions

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

Total New Old
Modular forms 3096 3096 0
Cusp forms 3048 3048 0
Eisenstein series 48 48 0

Trace form

\( 3048 q - 15 q^{2} - 13 q^{3} - 509 q^{4} - 15 q^{5} + 6 q^{6} + 5 q^{7} + 27 q^{9} + O(q^{10}) \) \( 3048 q - 15 q^{2} - 13 q^{3} - 509 q^{4} - 15 q^{5} + 6 q^{6} + 5 q^{7} + 27 q^{9} - 4 q^{10} - 18 q^{11} - 50 q^{12} - 3 q^{13} + 18 q^{14} + 36 q^{15} + 979 q^{16} - 27 q^{17} - 199 q^{18} - 34 q^{19} - 12 q^{20} - 62 q^{21} + 4 q^{22} - 189 q^{23} - 127 q^{24} - 1235 q^{25} + 60 q^{26} + 20 q^{27} - 40 q^{28} - 126 q^{29} + 224 q^{30} - 24 q^{31} - 129 q^{32} + 110 q^{33} - 4 q^{34} + 75 q^{35} - 668 q^{36} - q^{37} + 33 q^{38} - 51 q^{39} - 63 q^{40} + 231 q^{41} + 238 q^{42} - 72 q^{43} + 570 q^{44} + 734 q^{45} + 2 q^{46} - 15 q^{47} + 72 q^{48} - 3143 q^{49} + 279 q^{50} - 17 q^{51} + 32 q^{52} - 1185 q^{54} + 11 q^{55} + 63 q^{56} - 184 q^{57} + 5 q^{58} + 35 q^{60} - 60 q^{61} - 1065 q^{62} - 719 q^{63} + 3646 q^{64} - 21 q^{65} + 94 q^{66} + 27 q^{67} - 535 q^{69} - 415 q^{70} - 675 q^{71} + 783 q^{72} - 265 q^{73} - 402 q^{74} + 613 q^{75} - 13 q^{76} + 210 q^{77} - 332 q^{78} - 339 q^{79} + 2520 q^{80} - 273 q^{81} - 121 q^{82} - 18 q^{83} + 1154 q^{84} - 55 q^{85} - 21 q^{86} + 160 q^{87} - 452 q^{88} + 605 q^{90} + 85 q^{91} - 21 q^{92} + 417 q^{93} + 929 q^{94} - 318 q^{95} + 894 q^{96} + 185 q^{97} - 468 q^{98} - 154 q^{99} + O(q^{100}) \)

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.