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Properties

Label 1143.3.bw
Level $1143$
Weight $3$
Character orbit 1143.bw
Rep. character $\chi_{1143}(238,\cdot)$
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.bw (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

\( 3048 q - 5 q^{2} - 14 q^{3} + 499 q^{4} - 7 q^{5} - 35 q^{6} - 14 q^{7} - 50 q^{9} + O(q^{10}) \) \( 3048 q - 5 q^{2} - 14 q^{3} + 499 q^{4} - 7 q^{5} - 35 q^{6} - 14 q^{7} - 50 q^{9} - 28 q^{10} - 5 q^{11} - 14 q^{12} - 15 q^{13} - 7 q^{14} - 9 q^{15} + 995 q^{16} + 16 q^{17} + 55 q^{18} - 20 q^{19} - 86 q^{21} - 28 q^{22} - 7 q^{23} - 1235 q^{25} + 276 q^{26} - 14 q^{27} - 259 q^{29} + 116 q^{30} + 27 q^{31} + 251 q^{32} - 308 q^{33} + 3 q^{34} - 136 q^{35} - 227 q^{36} - 4 q^{37} + 47 q^{38} - 602 q^{39} - 63 q^{40} - 5 q^{41} - 186 q^{42} - 7 q^{43} + 202 q^{44} + 154 q^{45} - 28 q^{46} - 5 q^{47} - 42 q^{48} - 1884 q^{49} + 733 q^{50} - 868 q^{51} - 166 q^{52} - 28 q^{53} + 1442 q^{54} - 28 q^{55} + 21 q^{56} + 196 q^{57} - 7 q^{58} - 407 q^{60} - 115 q^{61} - 972 q^{62} - 350 q^{63} - 3688 q^{64} - 7 q^{65} - 1113 q^{66} - 7 q^{67} - 140 q^{68} + 248 q^{69} + 125 q^{70} - 470 q^{71} + 174 q^{72} - 510 q^{73} + 155 q^{74} - 213 q^{76} - 175 q^{77} - 203 q^{78} + 329 q^{79} + 5208 q^{80} - 742 q^{81} - 432 q^{82} - 7 q^{83} - 120 q^{84} - 7 q^{85} - 7 q^{86} - 420 q^{87} + 351 q^{88} - 28 q^{89} - 28 q^{91} + 1001 q^{92} - 686 q^{93} - 555 q^{94} + 826 q^{95} + 1274 q^{96} + 126 q^{97} + 3952 q^{98} + 224 q^{99} + O(q^{100}) \)

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.