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Properties

Label 3283.2.cm
Level $3283$
Weight $2$
Character orbit 3283.cm
Rep. character $\chi_{3283}(39,\cdot)$
Character field $\Q(\zeta_{231})$
Dimension $37800$
Sturm bound $634$

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Defining parameters

Level: \( N \) \(=\) \( 3283 = 7^{2} \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3283.cm (of order \(231\) and degree \(120\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3283 \)
Character field: \(\Q(\zeta_{231})\)
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

\( 37800 q - 135 q^{2} - 114 q^{3} - 447 q^{4} - 113 q^{5} - 87 q^{6} - 133 q^{7} - 67 q^{8} - 411 q^{9} + O(q^{10}) \) \( 37800 q - 135 q^{2} - 114 q^{3} - 447 q^{4} - 113 q^{5} - 87 q^{6} - 133 q^{7} - 67 q^{8} - 411 q^{9} - 184 q^{10} - 135 q^{11} - 134 q^{12} - 95 q^{13} - 111 q^{14} - 78 q^{15} - 439 q^{16} - 142 q^{17} - 52 q^{18} - 75 q^{19} - 99 q^{20} + 21 q^{21} - 98 q^{22} - 135 q^{23} - 3 q^{24} - 422 q^{25} - 130 q^{26} - 102 q^{27} - 190 q^{28} - 130 q^{29} + 71 q^{30} - 133 q^{31} - 201 q^{32} - 126 q^{33} - 205 q^{34} - 128 q^{35} - 298 q^{36} + 32 q^{37} - 245 q^{38} - 187 q^{39} - 105 q^{40} - 41 q^{41} + 4 q^{42} - 128 q^{43} - 117 q^{44} - 21 q^{45} - 79 q^{46} - 344 q^{47} - 391 q^{48} - 207 q^{49} - 197 q^{50} - 109 q^{51} + 829 q^{52} - 137 q^{53} - 68 q^{54} - 84 q^{55} - 169 q^{56} + 32 q^{57} - 85 q^{58} - 187 q^{59} - 60 q^{60} - 148 q^{61} - 76 q^{62} + 517 q^{63} + 501 q^{64} - 123 q^{65} - 440 q^{66} - 73 q^{67} - 230 q^{68} - 49 q^{69} - 222 q^{70} - 103 q^{71} + 27 q^{72} - 172 q^{73} - 154 q^{74} - 268 q^{75} - 186 q^{76} - 260 q^{77} + 151 q^{78} - 44 q^{79} + 112 q^{80} - 292 q^{81} - 161 q^{82} - 197 q^{83} - 137 q^{84} - 202 q^{85} - 298 q^{87} - 130 q^{88} - 139 q^{89} + 118 q^{90} - 1593 q^{91} - 106 q^{92} - 167 q^{93} + 109 q^{94} - 136 q^{95} - 1972 q^{96} + 419 q^{97} - 190 q^{98} - 240 q^{99} + O(q^{100}) \)

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.