↑

Properties

Label 1143.3.t
Level $1143$
Weight $3$
Character orbit 1143.t
Rep. character $\chi_{1143}(235,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $210$
Sturm bound $384$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 1143.t (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 127 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(1143, [\chi])\).

Total New Old
Modular forms 520 214 306
Cusp forms 504 210 294
Eisenstein series 16 4 12

Trace form

\( 210 q + 2 q^{2} + 398 q^{4} + 9 q^{7} + 10 q^{8} + O(q^{10}) \) \( 210 q + 2 q^{2} + 398 q^{4} + 9 q^{7} + 10 q^{8} + 2 q^{13} + 84 q^{14} + 830 q^{16} - 4 q^{17} + 12 q^{19} - 46 q^{22} - 15 q^{23} - 882 q^{25} - 52 q^{26} + 6 q^{28} - 99 q^{29} - 3 q^{31} - 48 q^{32} + 72 q^{34} - 88 q^{35} + 20 q^{37} - 16 q^{38} - 27 q^{41} + 57 q^{43} + 51 q^{44} - 39 q^{46} - 82 q^{47} + 454 q^{49} - 160 q^{50} - 138 q^{52} + 150 q^{53} - 99 q^{55} + 606 q^{56} + 138 q^{58} + 180 q^{59} - 220 q^{61} + 324 q^{62} + 1210 q^{64} + 135 q^{65} + 18 q^{67} + 107 q^{68} + 141 q^{70} - 10 q^{71} + 12 q^{73} + 161 q^{74} - 450 q^{76} + 29 q^{79} + 118 q^{82} - 39 q^{83} + 153 q^{85} + 693 q^{86} - 79 q^{88} + 270 q^{91} - 399 q^{92} + 682 q^{94} - 378 q^{97} + 116 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{3}^{\mathrm{new}}(1143, [\chi])\) into newform subspaces

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

Decomposition of \(S_{3}^{\mathrm{old}}(1143, [\chi])\) into lower level spaces

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