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Properties

Label 1183.2.bp
Level $1183$
Weight $2$
Character orbit 1183.bp
Rep. character $\chi_{1183}(30,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $2856$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1183 = 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1183.bp (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1183 \)
Character field: \(\Q(\zeta_{78})\)
Sturm bound: \(242\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1183, [\chi])\).

Total New Old
Modular forms 2952 2952 0
Cusp forms 2856 2856 0
Eisenstein series 96 96 0

Trace form

\( 2856 q - 10 q^{2} - 17 q^{3} - 130 q^{4} - 13 q^{5} - 46 q^{6} - 24 q^{7} - 52 q^{8} - 235 q^{9} + O(q^{10}) \) \( 2856 q - 10 q^{2} - 17 q^{3} - 130 q^{4} - 13 q^{5} - 46 q^{6} - 24 q^{7} - 52 q^{8} - 235 q^{9} + 5 q^{10} - 13 q^{11} - 11 q^{12} - 48 q^{13} - 34 q^{14} - 95 q^{15} + 102 q^{16} - 22 q^{17} - 16 q^{18} - 46 q^{20} - 10 q^{21} - 22 q^{22} + 8 q^{23} - 13 q^{24} - 120 q^{25} - q^{26} - 62 q^{27} - 52 q^{28} - 48 q^{29} + 55 q^{30} + 2 q^{31} - 87 q^{32} - 13 q^{33} - 52 q^{34} - 47 q^{35} - 139 q^{36} - 28 q^{37} - 173 q^{38} + 38 q^{39} - 9 q^{40} - 37 q^{41} - 156 q^{42} - 54 q^{43} - 63 q^{44} - 10 q^{45} + 69 q^{46} - 13 q^{47} - 46 q^{48} - 124 q^{49} - 76 q^{50} - 13 q^{51} - 65 q^{52} + 190 q^{53} + 74 q^{54} - 32 q^{55} - 27 q^{56} - 13 q^{57} + 91 q^{58} + 70 q^{59} - 46 q^{60} - 21 q^{61} - 88 q^{62} - 112 q^{63} + 172 q^{64} - 19 q^{65} + 98 q^{66} + 143 q^{67} + 51 q^{68} - 94 q^{69} - 294 q^{70} - 163 q^{71} - 13 q^{72} + 44 q^{73} - 188 q^{74} + 279 q^{75} + 120 q^{76} - 32 q^{77} - 99 q^{78} + 15 q^{79} - 195 q^{81} - 21 q^{82} - 52 q^{83} - 277 q^{84} + 55 q^{85} + 53 q^{86} - 10 q^{87} + 69 q^{88} - 75 q^{89} - 52 q^{90} - 61 q^{91} - 34 q^{92} - 59 q^{93} - 115 q^{94} + 188 q^{95} - q^{96} - 118 q^{97} + 19 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1183, [\chi])\) into newform subspaces

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