↑

Properties

Label 3283.2.cq
Level $3283$
Weight $2$
Character orbit 3283.cq
Rep. character $\chi_{3283}(61,\cdot)$
Character field $\Q(\zeta_{462})$
Dimension $37800$
Sturm bound $634$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 3283 = 7^{2} \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3283.cq (of order \(462\) and degree \(120\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3283 \)
Character field: \(\Q(\zeta_{462})\)
Sturm bound: \(634\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3283, [\chi])\).

Total New Old
Modular forms 38280 38280 0
Cusp forms 37800 37800 0
Eisenstein series 480 480 0

Trace form

\( 37800 q - 122 q^{2} - 120 q^{3} - 762 q^{4} - 121 q^{5} - 163 q^{6} - 118 q^{7} - 143 q^{8} - 443 q^{9} + O(q^{10}) \) \( 37800 q - 122 q^{2} - 120 q^{3} - 762 q^{4} - 121 q^{5} - 163 q^{6} - 118 q^{7} - 143 q^{8} - 443 q^{9} - 198 q^{10} - 122 q^{11} - 107 q^{12} - 119 q^{13} - 105 q^{14} - 78 q^{15} + 478 q^{16} - 111 q^{17} - 45 q^{18} - 198 q^{19} - 145 q^{20} - 192 q^{21} - 90 q^{22} - 138 q^{23} - 87 q^{24} - 422 q^{25} - 105 q^{26} - 162 q^{27} + 40 q^{28} - 104 q^{29} - 128 q^{31} + 4 q^{32} - 117 q^{33} - 133 q^{34} - 111 q^{35} + 156 q^{36} - 94 q^{37} - 156 q^{38} - 100 q^{39} - 155 q^{40} - 187 q^{41} - 90 q^{42} - 110 q^{43} - 122 q^{44} - 283 q^{45} + 4 q^{46} - 268 q^{47} - 63 q^{48} - 172 q^{49} - 171 q^{50} - 38 q^{51} - 37 q^{52} - 155 q^{53} - 114 q^{54} - 189 q^{55} - 181 q^{56} - 297 q^{57} - 205 q^{58} - 97 q^{59} + 24 q^{60} - 77 q^{61} - 84 q^{62} - 519 q^{63} - 667 q^{64} - 134 q^{65} + 18 q^{66} - 39 q^{67} - 702 q^{68} - 181 q^{69} - 214 q^{70} - 103 q^{71} - 329 q^{72} - 128 q^{73} - 34 q^{74} + 102 q^{75} - 298 q^{76} + 112 q^{77} - 11 q^{78} + 140 q^{79} - 45 q^{80} - 304 q^{81} - 141 q^{82} - 21 q^{83} - 327 q^{84} + 58 q^{85} - 20 q^{86} - 187 q^{87} - 121 q^{88} - 177 q^{89} + 431 q^{90} - 1003 q^{91} - 126 q^{92} - 46 q^{93} - 145 q^{94} - 338 q^{95} + 966 q^{96} + 13 q^{97} - 259 q^{98} - 192 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3283, [\chi])\) into newform subspaces

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