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Properties

Label 3283.2.bc
Level $3283$
Weight $2$
Character orbit 3283.bc
Rep. character $\chi_{3283}(163,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $3780$
Sturm bound $634$

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Defining parameters

Level: \( N \) \(=\) \( 3283 = 7^{2} \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3283.bc (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3283 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(634\)

Dimensions

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

Total New Old
Modular forms 3828 3828 0
Cusp forms 3780 3780 0
Eisenstein series 48 48 0

Trace form

\( 3780 q - 8 q^{2} - 29 q^{3} + 304 q^{4} - 30 q^{5} - 23 q^{6} + q^{7} - 10 q^{8} + 268 q^{9} + O(q^{10}) \) \( 3780 q - 8 q^{2} - 29 q^{3} + 304 q^{4} - 30 q^{5} - 23 q^{6} + q^{7} - 10 q^{8} + 268 q^{9} - 25 q^{10} - 8 q^{11} - 9 q^{12} - 15 q^{13} - 21 q^{14} - 32 q^{15} + 296 q^{16} - q^{17} - 14 q^{18} + 9 q^{19} - 11 q^{20} - 21 q^{21} - 12 q^{22} - 8 q^{23} - 74 q^{24} + 279 q^{25} - 13 q^{26} - 8 q^{27} + 58 q^{28} + 75 q^{29} - 5 q^{30} + 67 q^{31} + 58 q^{32} - 17 q^{33} + 95 q^{34} - 4 q^{35} + 188 q^{36} - 120 q^{37} + 25 q^{38} - 88 q^{39} - 38 q^{40} - 36 q^{41} - 136 q^{42} + 18 q^{43} - 26 q^{44} - 122 q^{45} - 64 q^{46} - 129 q^{47} + 127 q^{48} + 75 q^{49} - 34 q^{50} - 34 q^{51} + 40 q^{52} - 6 q^{53} - 75 q^{54} - 26 q^{55} - 29 q^{56} + 45 q^{57} - 36 q^{58} + 27 q^{60} + 71 q^{61} - 34 q^{62} + 77 q^{63} - 578 q^{64} - 20 q^{65} - 22 q^{66} + 7 q^{67} - 23 q^{68} - 61 q^{69} + 68 q^{70} - 7 q^{71} - 170 q^{72} + 7 q^{73} - 33 q^{74} - 51 q^{75} + 98 q^{76} - 48 q^{77} - 261 q^{78} - 310 q^{80} + 149 q^{81} + 18 q^{82} + 87 q^{83} + 49 q^{84} + 92 q^{85} - 143 q^{86} - 43 q^{87} - 277 q^{88} - 4 q^{89} + 201 q^{90} - 123 q^{91} - 4 q^{92} + 24 q^{93} - 252 q^{94} - 7 q^{95} - 63 q^{96} - 23 q^{97} + 14 q^{98} - 24 q^{99} + O(q^{100}) \)

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.