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Properties

Label 1143.2.bs
Level $1143$
Weight $2$
Character orbit 1143.bs
Rep. character $\chi_{1143}(95,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $1512$
Sturm bound $256$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.bs (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(256\)

Dimensions

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

Total New Old
Modular forms 1560 1560 0
Cusp forms 1512 1512 0
Eisenstein series 48 48 0

Trace form

\( 1512 q - 15 q^{2} - 14 q^{3} - 129 q^{4} - 21 q^{5} - 35 q^{6} - 20 q^{9} + O(q^{10}) \) \( 1512 q - 15 q^{2} - 14 q^{3} - 129 q^{4} - 21 q^{5} - 35 q^{6} - 20 q^{9} - 28 q^{10} - 15 q^{11} - 14 q^{12} - 7 q^{13} - 21 q^{14} + 15 q^{15} + 111 q^{16} + q^{18} - 52 q^{19} + 28 q^{21} - 4 q^{22} - 21 q^{23} + 113 q^{25} - 14 q^{27} + 105 q^{29} - 46 q^{30} - 13 q^{31} - 9 q^{32} - 56 q^{33} - 9 q^{34} + 85 q^{36} - 44 q^{37} - 81 q^{38} + 28 q^{39} + 21 q^{40} - 87 q^{41} - 18 q^{42} - 7 q^{43} + 154 q^{45} - 28 q^{46} - 15 q^{47} - 84 q^{49} - 21 q^{50} - 28 q^{51} - 6 q^{52} + 14 q^{54} - 28 q^{55} + 21 q^{56} + 28 q^{57} - 7 q^{58} + 13 q^{60} - 3 q^{61} - 98 q^{63} + 160 q^{64} - 21 q^{65} + 273 q^{66} - 7 q^{67} - 132 q^{68} - 40 q^{69} - q^{70} - 126 q^{72} + 50 q^{73} - 9 q^{74} - 25 q^{76} + 147 q^{77} - 77 q^{78} - 33 q^{79} - 4 q^{81} - 48 q^{82} - 21 q^{83} - 408 q^{84} - 7 q^{85} - 21 q^{86} + 24 q^{87} - 45 q^{88} - 28 q^{91} + 231 q^{92} - 182 q^{93} + 15 q^{94} - 126 q^{95} - 70 q^{96} - 14 q^{97} - 64 q^{99} + O(q^{100}) \)

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.