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Properties

Label 1143.3.br
Level $1143$
Weight $3$
Character orbit 1143.br
Rep. character $\chi_{1143}(38,\cdot)$
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.br (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

\( 3048 q - 15 q^{2} - 13 q^{3} - 509 q^{4} - 15 q^{5} - 36 q^{6} - 13 q^{7} - 93 q^{9} + O(q^{10}) \) \( 3048 q - 15 q^{2} - 13 q^{3} - 509 q^{4} - 15 q^{5} - 36 q^{6} - 13 q^{7} - 93 q^{9} - 4 q^{10} - 21 q^{11} - 11 q^{12} - 15 q^{13} - 21 q^{14} - 45 q^{15} + 979 q^{16} + 27 q^{17} + 56 q^{18} - 34 q^{19} - 12 q^{20} - 119 q^{21} - 2 q^{22} - 21 q^{23} + 101 q^{24} - 1235 q^{25} - 60 q^{26} + 20 q^{27} - 40 q^{28} - 777 q^{29} - 109 q^{30} + 27 q^{31} + 627 q^{32} + 110 q^{33} - 13 q^{34} - 75 q^{35} + 856 q^{36} - q^{37} + 33 q^{38} + 159 q^{39} - 63 q^{40} + 342 q^{41} - 77 q^{42} + 123 q^{43} - 570 q^{44} + 1067 q^{45} + 2 q^{46} - 15 q^{47} - 159 q^{48} + 1309 q^{49} + 279 q^{50} - 17 q^{51} - 16 q^{52} + 663 q^{54} + 11 q^{55} + 63 q^{56} - 40 q^{57} - 13 q^{58} - 234 q^{59} + 380 q^{60} - 60 q^{61} + 1065 q^{62} + 289 q^{63} + 3646 q^{64} - 666 q^{65} - 53 q^{66} - 75 q^{67} + 150 q^{68} - 133 q^{69} + 197 q^{70} + 675 q^{71} - 1164 q^{72} - 265 q^{73} + 63 q^{74} - 1169 q^{75} - 13 q^{76} + 210 q^{77} + 370 q^{78} + 789 q^{79} - 2520 q^{80} - 9 q^{81} - 121 q^{82} - 21 q^{83} - 70 q^{84} + 17 q^{85} + 576 q^{86} + 160 q^{87} - 41 q^{88} - 724 q^{90} + 85 q^{91} + 2109 q^{92} + 774 q^{93} - 835 q^{94} - 318 q^{95} - 252 q^{96} - 103 q^{97} + 468 q^{98} - 238 q^{99} + O(q^{100}) \)

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.