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Properties

Label 1143.3.bx
Level $1143$
Weight $3$
Character orbit 1143.bx
Rep. character $\chi_{1143}(160,\cdot)$
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.bx (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

\( 3048 q - 5 q^{2} - 11 q^{3} + 499 q^{4} - 7 q^{5} - 44 q^{6} + 7 q^{7} - 54 q^{8} - 53 q^{9} + O(q^{10}) \) \( 3048 q - 5 q^{2} - 11 q^{3} + 499 q^{4} - 7 q^{5} - 44 q^{6} + 7 q^{7} - 54 q^{8} - 53 q^{9} - 28 q^{10} - 8 q^{11} - 68 q^{12} - 3 q^{13} + 8 q^{14} + 36 q^{15} + 995 q^{16} - 17 q^{17} - 215 q^{18} - 62 q^{19} - 134 q^{21} - 28 q^{22} - 31 q^{23} + 33 q^{24} - 1235 q^{25} + 48 q^{26} + 166 q^{27} - 96 q^{28} + 392 q^{29} - 214 q^{30} - 24 q^{31} - 487 q^{32} + 34 q^{33} - 12 q^{34} - 55 q^{35} - 584 q^{36} - q^{37} - 61 q^{38} - 599 q^{39} - 63 q^{40} - 149 q^{41} - 228 q^{42} - 4 q^{43} + 334 q^{44} - 824 q^{45} - 34 q^{46} - 5 q^{47} + 294 q^{48} + 3393 q^{49} - 2363 q^{50} + 413 q^{51} - 112 q^{52} - 22 q^{53} + 983 q^{54} + 17 q^{55} + 21 q^{56} - 278 q^{57} - 7 q^{58} + 271 q^{60} + 50 q^{61} + 1275 q^{62} + 535 q^{63} - 4066 q^{64} - 7 q^{65} + 480 q^{66} + 101 q^{67} - 140 q^{68} + 233 q^{69} - 595 q^{70} + 199 q^{71} + 63 q^{72} + 225 q^{73} + 80 q^{74} + 1683 q^{75} - 45 q^{76} - 334 q^{77} + 88 q^{78} + 329 q^{79} - 2982 q^{80} - 385 q^{81} - 129 q^{82} - 4 q^{83} - 1758 q^{84} - 7 q^{85} - 7 q^{86} - 486 q^{87} - 396 q^{88} - 28 q^{89} - 369 q^{90} - 445 q^{91} - 2023 q^{92} + 253 q^{93} + 777 q^{94} - 398 q^{95} - 1606 q^{96} - 273 q^{97} - 3266 q^{98} + 2 q^{99} + O(q^{100}) \)

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.