Properties

Label 1143.3.bq
Level $1143$
Weight $3$
Character orbit 1143.bq
Rep. character $\chi_{1143}(2,\cdot)$
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.bq (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

\( 3048 q - 15 q^{2} - 10 q^{3} - 509 q^{4} - 15 q^{5} - 3 q^{6} - 10 q^{7} + 30 q^{9} + O(q^{10}) \) \( 3048 q - 15 q^{2} - 10 q^{3} - 509 q^{4} - 15 q^{5} - 3 q^{6} - 10 q^{7} + 30 q^{9} - 4 q^{10} - 15 q^{11} - 80 q^{12} - 15 q^{13} + 57 q^{14} - 9 q^{15} + 979 q^{16} + 71 q^{18} - 76 q^{19} - 12 q^{20} - 122 q^{21} + 4 q^{22} + 75 q^{23} - 196 q^{24} - 1235 q^{25} - 70 q^{27} - 64 q^{28} + 525 q^{29} + 92 q^{30} + 27 q^{31} - 831 q^{32} - 250 q^{33} - 13 q^{34} - 11 q^{36} - 4 q^{37} - 291 q^{38} - 48 q^{39} - 63 q^{40} + 21 q^{41} + 202 q^{42} - 69 q^{43} + 26 q^{45} - 52 q^{46} - 15 q^{47} - 408 q^{48} + 1744 q^{49} - 153 q^{50} + 4 q^{51} - 22 q^{52} - 1116 q^{54} + 128 q^{55} + 63 q^{56} - 136 q^{57} + 149 q^{58} - 468 q^{59} - 547 q^{60} + 105 q^{61} + 166 q^{63} + 4024 q^{64} - 15 q^{65} + 1201 q^{66} - 75 q^{67} + 300 q^{68} + 776 q^{69} + 305 q^{70} - 678 q^{72} + 470 q^{73} - 111 q^{74} - 1160 q^{75} - 181 q^{76} + 615 q^{77} - 191 q^{78} - 339 q^{79} - 294 q^{81} - 400 q^{82} - 15 q^{83} + 1688 q^{84} - 55 q^{85} + 1173 q^{86} + 532 q^{87} - 41 q^{88} + 1346 q^{90} - 164 q^{91} - 2241 q^{92} - 522 q^{93} - 763 q^{94} - 534 q^{95} + 186 q^{96} - 100 q^{97} - 412 q^{99} + O(q^{100}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(1143, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.