Properties

Label 1143.2.p
Level $1143$
Weight $2$
Character orbit 1143.p
Rep. character $\chi_{1143}(380,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $252$
Sturm bound $256$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.p (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1143 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(256\)

Dimensions

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

Total New Old
Modular forms 260 260 0
Cusp forms 252 252 0
Eisenstein series 8 8 0

Trace form

\( 252 q - 6 q^{2} + 122 q^{4} - 8 q^{9} + O(q^{10}) \) \( 252 q - 6 q^{2} + 122 q^{4} - 8 q^{9} - 6 q^{11} - 8 q^{15} - 118 q^{16} + 6 q^{18} - 4 q^{19} - 10 q^{22} - 120 q^{25} + 18 q^{30} + 6 q^{31} + 114 q^{32} + 2 q^{34} - 22 q^{36} - 12 q^{37} + 18 q^{38} - 18 q^{41} + 4 q^{42} - 6 q^{47} + 126 q^{49} - 8 q^{52} - 6 q^{60} - 4 q^{61} - 188 q^{64} + 90 q^{68} - 30 q^{69} + 36 q^{70} + 112 q^{72} + 20 q^{73} - 54 q^{74} - 10 q^{76} - 16 q^{79} + 144 q^{81} + 20 q^{82} + 2 q^{84} - 38 q^{87} + 10 q^{88} - 64 q^{94} + 36 q^{99} + O(q^{100}) \)

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

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