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Properties

Label 3283.2.cx
Level $3283$
Weight $2$
Character orbit 3283.cx
Rep. character $\chi_{3283}(12,\cdot)$
Character field $\Q(\zeta_{462})$
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.cx (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

\( 37800 q - 125 q^{2} - 122 q^{3} + 177 q^{4} - 121 q^{5} - 145 q^{6} - 119 q^{7} - 143 q^{8} - 443 q^{9} + O(q^{10}) \) \( 37800 q - 125 q^{2} - 122 q^{3} + 177 q^{4} - 121 q^{5} - 145 q^{6} - 119 q^{7} - 143 q^{8} - 443 q^{9} - 114 q^{10} - 125 q^{11} - 114 q^{12} - 147 q^{13} - 105 q^{14} - 78 q^{15} - 443 q^{16} - 114 q^{17} - 66 q^{18} - 165 q^{19} - 121 q^{20} - 9 q^{21} - 90 q^{22} - 135 q^{23} + 111 q^{24} - 422 q^{25} - 114 q^{26} - 146 q^{27} - 94 q^{28} + 22 q^{29} - 153 q^{30} - 163 q^{31} - 95 q^{32} - 114 q^{33} - 133 q^{34} - 138 q^{35} + 198 q^{36} + 26 q^{37} - 183 q^{38} - 187 q^{39} - 155 q^{40} + 5 q^{41} - 174 q^{42} - 110 q^{43} - 131 q^{44} + 41 q^{45} - 17 q^{46} + 236 q^{47} + 63 q^{48} - 199 q^{49} - 171 q^{50} - 35 q^{51} + 653 q^{52} - 131 q^{53} - 114 q^{54} - 126 q^{55} - 163 q^{56} - 234 q^{57} - 103 q^{58} - 97 q^{59} - 216 q^{60} - 6 q^{61} - 84 q^{62} + 609 q^{63} - 667 q^{64} - 137 q^{65} - 18 q^{66} - 63 q^{67} - 702 q^{68} - 85 q^{69} - 28 q^{70} - 103 q^{71} + 43 q^{72} + 128 q^{73} - 184 q^{74} - 80 q^{75} - 430 q^{76} - 188 q^{77} - 11 q^{78} - 88 q^{79} + 108 q^{80} - 304 q^{81} - 141 q^{82} - 231 q^{83} - 217 q^{84} - 110 q^{85} - 320 q^{86} - 94 q^{87} + 44 q^{88} - 177 q^{89} - 970 q^{90} + 1373 q^{91} - 126 q^{92} - 169 q^{93} - 97 q^{94} - 290 q^{95} - 2772 q^{96} - 13 q^{97} + 14 q^{98} - 192 q^{99} + O(q^{100}) \)

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.