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Properties

Label 3283.2.ci
Level $3283$
Weight $2$
Character orbit 3283.ci
Rep. character $\chi_{3283}(15,\cdot)$
Character field $\Q(\zeta_{77})$
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.ci (of order \(77\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3283 \)
Character field: \(\Q(\zeta_{77})\)
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

\( 18840 q - 45 q^{2} - 49 q^{3} + 263 q^{4} - 49 q^{5} - 33 q^{6} - 60 q^{7} + q^{8} + 281 q^{9} + O(q^{10}) \) \( 18840 q - 45 q^{2} - 49 q^{3} + 263 q^{4} - 49 q^{5} - 33 q^{6} - 60 q^{7} + q^{8} + 281 q^{9} + q^{10} - 45 q^{11} - 77 q^{12} - 69 q^{13} - 72 q^{14} - 57 q^{15} + 243 q^{16} - 53 q^{17} - 128 q^{18} - 128 q^{19} - 93 q^{20} - 22 q^{21} - 85 q^{22} - 45 q^{23} + 87 q^{24} + 253 q^{25} - 53 q^{26} - 73 q^{27} - 36 q^{28} - 56 q^{29} - 320 q^{30} - 76 q^{31} - 9 q^{32} - 57 q^{33} - 5 q^{34} - 94 q^{35} + 291 q^{36} - 42 q^{37} + 32 q^{38} + 111 q^{39} - 33 q^{40} + 5 q^{41} + 80 q^{42} - 93 q^{43} - 69 q^{44} - 33 q^{45} + 7 q^{46} - 124 q^{47} - 32 q^{48} - 52 q^{49} - 130 q^{50} - 17 q^{51} - 735 q^{52} - 49 q^{53} - 19 q^{54} - 51 q^{55} - 50 q^{56} + 133 q^{57} - 41 q^{58} - 5 q^{59} - 207 q^{60} + 111 q^{61} - 29 q^{62} - 694 q^{63} + 233 q^{64} - 129 q^{65} - 16 q^{66} - 168 q^{67} + 152 q^{68} - 149 q^{69} + 6 q^{70} - 53 q^{71} + 69 q^{72} + 139 q^{73} - 77 q^{74} - 21 q^{75} + 109 q^{76} + 38 q^{77} - 109 q^{78} + 110 q^{79} + 44 q^{80} + 309 q^{81} - 145 q^{82} + 65 q^{83} - 48 q^{84} + 7 q^{85} - 51 q^{86} + 61 q^{87} + 271 q^{88} - 125 q^{89} + 194 q^{90} - 806 q^{91} - 119 q^{92} + 15 q^{93} - 67 q^{94} + 13 q^{95} - 830 q^{96} - 628 q^{97} - 122 q^{98} - 156 q^{99} + O(q^{100}) \)

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.