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Properties

Label 1143.2.cg
Level $1143$
Weight $2$
Character orbit 1143.cg
Rep. character $\chi_{1143}(56,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $4536$
Sturm bound $256$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.cg (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(256\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1143, [\chi])\).

Total New Old
Modular forms 4680 4680 0
Cusp forms 4536 4536 0
Eisenstein series 144 144 0

Trace form

\( 4536 q - 45 q^{2} - 36 q^{3} - 387 q^{4} - 54 q^{5} - 12 q^{6} - 18 q^{7} - 36 q^{9} + O(q^{10}) \) \( 4536 q - 45 q^{2} - 36 q^{3} - 387 q^{4} - 54 q^{5} - 12 q^{6} - 18 q^{7} - 36 q^{9} - 48 q^{10} - 54 q^{11} - 48 q^{12} - 12 q^{13} - 72 q^{14} - 27 q^{15} + 333 q^{16} + 27 q^{17} - 42 q^{18} - 36 q^{19} - 72 q^{20} + 75 q^{21} - 6 q^{22} - 27 q^{23} - 66 q^{24} + 330 q^{25} - 72 q^{26} - 33 q^{27} - 84 q^{28} - 90 q^{30} - 30 q^{31} - 117 q^{32} - 33 q^{33} - 24 q^{34} - 45 q^{35} - 84 q^{36} - 66 q^{37} - 36 q^{38} + 78 q^{39} - 153 q^{40} - 54 q^{41} - 66 q^{42} - 18 q^{43} - 99 q^{44} - 171 q^{45} - 60 q^{46} - 63 q^{47} - 69 q^{48} + 18 q^{49} - 63 q^{50} - 33 q^{51} - 36 q^{52} - 159 q^{54} - 93 q^{55} - 99 q^{56} + 18 q^{57} - 60 q^{58} - 54 q^{59} - 201 q^{60} - 15 q^{61} + 351 q^{62} - 15 q^{63} + 588 q^{64} + 54 q^{65} - 15 q^{66} + 3 q^{67} + 18 q^{68} - 18 q^{69} - 57 q^{70} - 180 q^{72} - 78 q^{73} + 36 q^{74} + 372 q^{75} - 51 q^{76} - 405 q^{77} - 12 q^{78} - 60 q^{79} - 243 q^{80} + 192 q^{81} - 33 q^{82} - 54 q^{83} - 324 q^{84} - 48 q^{85} - 126 q^{86} - 87 q^{87} - 288 q^{88} - 54 q^{89} - 135 q^{90} - 27 q^{91} + 72 q^{92} - 177 q^{93} + 18 q^{94} + 207 q^{95} + 111 q^{96} - 18 q^{97} - 60 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1143, [\chi])\) into newform subspaces

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