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Properties

Label 1143.2.ca
Level $1143$
Weight $2$
Character orbit 1143.ca
Rep. character $\chi_{1143}(82,\cdot)$
Character field $\Q(\zeta_{63})$
Dimension $1872$
Sturm bound $256$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.ca (of order \(63\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 127 \)
Character field: \(\Q(\zeta_{63})\)
Sturm bound: \(256\)

Dimensions

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

Total New Old
Modular forms 4752 1944 2808
Cusp forms 4464 1872 2592
Eisenstein series 288 72 216

Trace form

\( 1872 q + 30 q^{2} - 330 q^{4} + 45 q^{5} - 30 q^{7} + 21 q^{8} + O(q^{10}) \) \( 1872 q + 30 q^{2} - 330 q^{4} + 45 q^{5} - 30 q^{7} + 21 q^{8} - 39 q^{10} + 27 q^{11} - 30 q^{13} + 66 q^{14} - 258 q^{16} + 39 q^{17} - 18 q^{19} - 108 q^{20} - 51 q^{22} + 18 q^{23} + 111 q^{25} + 102 q^{26} - 78 q^{28} - 36 q^{31} - 24 q^{32} + 99 q^{35} - 15 q^{37} - 24 q^{38} - 24 q^{40} - 54 q^{41} - 6 q^{43} + 6 q^{44} + 51 q^{46} + 54 q^{47} - 54 q^{49} + 63 q^{50} - 138 q^{52} + 51 q^{53} + 21 q^{55} - 147 q^{58} + 30 q^{59} - 135 q^{61} + 33 q^{62} - 33 q^{64} + 129 q^{65} - 42 q^{67} + 54 q^{68} - 90 q^{70} + 120 q^{71} - 39 q^{73} + 162 q^{74} + 39 q^{76} - 171 q^{77} - 69 q^{79} - 60 q^{80} - 105 q^{82} + 84 q^{83} - 36 q^{85} + 147 q^{86} + 183 q^{88} + 90 q^{89} - 114 q^{91} - 63 q^{92} - 51 q^{94} + 72 q^{95} - 159 q^{97} - 27 q^{98} + O(q^{100}) \)

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

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