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Properties

Label 1053.2.br
Level $1053$
Weight $2$
Character orbit 1053.br
Rep. character $\chi_{1053}(16,\cdot)$
Character field $\Q(\zeta_{27})$
Dimension $2232$
Sturm bound $252$

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Defining parameters

Level: \( N \) \(=\) \( 1053 = 3^{4} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1053.br (of order \(27\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1053 \)
Character field: \(\Q(\zeta_{27})\)
Sturm bound: \(252\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1053, [\chi])\).

Total New Old
Modular forms 2304 2304 0
Cusp forms 2232 2232 0
Eisenstein series 72 72 0

Trace form

\( 2232 q - 9 q^{2} - 9 q^{3} - 9 q^{4} - 36 q^{5} - 9 q^{6} - 9 q^{7} - 36 q^{8} - 9 q^{9} + O(q^{10}) \) \( 2232 q - 9 q^{2} - 9 q^{3} - 9 q^{4} - 36 q^{5} - 9 q^{6} - 9 q^{7} - 36 q^{8} - 9 q^{9} - 9 q^{10} - 9 q^{11} - 36 q^{12} - 18 q^{13} - 36 q^{14} - 9 q^{15} - 9 q^{16} - 9 q^{17} - 36 q^{18} - 9 q^{19} - 9 q^{20} - 36 q^{21} - 9 q^{22} - 9 q^{23} - 63 q^{24} - 36 q^{25} - 9 q^{26} - 63 q^{27} + 9 q^{28} + 45 q^{29} - 117 q^{30} - 36 q^{31} - 63 q^{32} - 9 q^{33} - 36 q^{34} - 9 q^{35} - 9 q^{36} - 9 q^{37} - 36 q^{38} - 18 q^{39} - 36 q^{40} - 9 q^{41} - 9 q^{42} - 9 q^{43} - 108 q^{44} + 99 q^{45} - 9 q^{46} - 90 q^{47} - 9 q^{48} - 9 q^{49} + 225 q^{50} - 36 q^{51} - 54 q^{52} + 90 q^{53} - 9 q^{54} - 18 q^{55} + 27 q^{56} - 90 q^{57} - 9 q^{58} - 9 q^{59} - 153 q^{60} - 9 q^{61} - 9 q^{62} - 225 q^{63} - 36 q^{64} + 54 q^{65} + 180 q^{66} - 9 q^{67} - 9 q^{68} - 45 q^{69} - 36 q^{70} - 9 q^{71} - 117 q^{72} - 36 q^{73} + 63 q^{74} - 9 q^{75} - 9 q^{76} - 180 q^{77} - 90 q^{79} - 18 q^{80} - 9 q^{81} - 18 q^{82} - 36 q^{83} + 45 q^{84} - 63 q^{85} + 108 q^{86} + 63 q^{87} - 9 q^{88} - 9 q^{89} - 180 q^{90} - 18 q^{91} + 270 q^{92} - 9 q^{93} - 9 q^{94} - 45 q^{95} - 153 q^{96} - 9 q^{97} - 216 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1053, [\chi])\) into newform subspaces

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