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Properties

Label 3283.2.ck
Level $3283$
Weight $2$
Character orbit 3283.ck
Rep. character $\chi_{3283}(27,\cdot)$
Character field $\Q(\zeta_{154})$
Dimension $18840$
Sturm bound $634$

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Defining parameters

Level: \( N \) \(=\) \( 3283 = 7^{2} \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3283.ck (of order \(154\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3283 \)
Character field: \(\Q(\zeta_{154})\)
Sturm bound: \(634\)

Dimensions

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

Total New Old
Modular forms 19080 19080 0
Cusp forms 18840 18840 0
Eisenstein series 240 240 0

Trace form

\( 18840 q - 55 q^{2} - 77 q^{3} - 353 q^{4} - 77 q^{5} - 35 q^{6} - 66 q^{7} - 121 q^{8} + 241 q^{9} + O(q^{10}) \) \( 18840 q - 55 q^{2} - 77 q^{3} - 353 q^{4} - 77 q^{5} - 35 q^{6} - 66 q^{7} - 121 q^{8} + 241 q^{9} - 63 q^{10} - 55 q^{11} - 77 q^{12} - 77 q^{13} - 36 q^{14} - 57 q^{15} + 259 q^{16} - 63 q^{17} - 132 q^{18} - 77 q^{20} + 10 q^{21} - 69 q^{22} - 45 q^{23} + 21 q^{24} + 253 q^{25} - 63 q^{26} - 77 q^{27} - 66 q^{28} - 160 q^{29} - 55 q^{32} - 63 q^{33} - 77 q^{34} - 42 q^{35} - 317 q^{36} - 18 q^{37} + 111 q^{39} - 175 q^{40} - 77 q^{41} - 66 q^{42} - 55 q^{43} - 55 q^{44} - 77 q^{45} - 55 q^{46} + 70 q^{47} - 12 q^{49} - 66 q^{50} - 55 q^{51} - 1155 q^{52} - 55 q^{53} - 189 q^{54} - 21 q^{55} - 14 q^{56} - 275 q^{57} - 11 q^{58} - 35 q^{59} + 21 q^{60} - 77 q^{61} - 63 q^{62} - 792 q^{63} - 295 q^{64} - 73 q^{65} - 104 q^{67} - 77 q^{69} + 22 q^{70} - 53 q^{71} - 55 q^{72} - 63 q^{73} - 11 q^{74} - 77 q^{75} + 91 q^{76} + 2 q^{77} - 55 q^{78} - 418 q^{79} + 357 q^{81} - 63 q^{82} - 21 q^{83} + 152 q^{84} - 55 q^{85} - 139 q^{86} - 77 q^{87} - 173 q^{88} - 63 q^{89} + 322 q^{90} + 654 q^{91} - 75 q^{92} - 45 q^{93} - 77 q^{94} - 55 q^{95} - 966 q^{96} - 110 q^{98} - 132 q^{99} + O(q^{100}) \)

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.