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Properties

Label 1143.2.h
Level $1143$
Weight $2$
Character orbit 1143.h
Rep. character $\chi_{1143}(19,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $106$
Sturm bound $256$

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Defining parameters

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

Dimensions

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

Total New Old
Modular forms 264 110 154
Cusp forms 248 106 142
Eisenstein series 16 4 12

Trace form

\( 106 q + 6 q^{2} + 106 q^{4} + 8 q^{5} + q^{7} + 6 q^{8} + O(q^{10}) \) \( 106 q + 6 q^{2} + 106 q^{4} + 8 q^{5} + q^{7} + 6 q^{8} - 28 q^{10} + 2 q^{11} - 6 q^{14} + 130 q^{16} + 2 q^{17} - 8 q^{19} + 48 q^{20} - 2 q^{22} - 7 q^{23} + 102 q^{25} + 14 q^{26} + 6 q^{28} - 3 q^{29} + 5 q^{31} - 12 q^{32} - 2 q^{34} + 2 q^{35} + 8 q^{37} + 4 q^{38} - 140 q^{40} - 3 q^{41} + 17 q^{43} + 37 q^{44} - 13 q^{46} - 2 q^{47} - 84 q^{49} + 40 q^{50} + 14 q^{52} - 12 q^{53} + 3 q^{55} + 28 q^{56} + 6 q^{58} - 26 q^{59} + 12 q^{61} + 18 q^{62} + 142 q^{64} + 11 q^{65} - 4 q^{67} - 3 q^{68} - 47 q^{70} - 14 q^{71} - 28 q^{73} - 21 q^{74} + 2 q^{76} + 24 q^{77} + 9 q^{79} + 74 q^{80} - 2 q^{82} - 9 q^{83} - 33 q^{85} + 21 q^{86} - 45 q^{88} + 36 q^{89} + 8 q^{91} - 41 q^{92} - 30 q^{94} - 30 q^{95} - 36 q^{97} + 28 q^{98} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(1143, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1143, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(127, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(381, [\chi])\)\(^{\oplus 2}\)