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Properties

Label 3283.2.v
Level $3283$
Weight $2$
Character orbit 3283.v
Rep. character $\chi_{3283}(148,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $2280$
Sturm bound $634$

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Defining parameters

Level: \( N \) \(=\) \( 3283 = 7^{2} \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3283.v (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 67 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(634\)

Dimensions

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

Total New Old
Modular forms 3240 2380 860
Cusp forms 3080 2280 800
Eisenstein series 160 100 60

Trace form

\( 2280 q + 8 q^{2} + 11 q^{3} - 218 q^{4} + 9 q^{5} + 3 q^{6} - 25 q^{8} - 207 q^{9} + O(q^{10}) \) \( 2280 q + 8 q^{2} + 11 q^{3} - 218 q^{4} + 9 q^{5} + 3 q^{6} - 25 q^{8} - 207 q^{9} + 32 q^{10} + 13 q^{11} - 26 q^{12} + 3 q^{13} - 59 q^{15} - 228 q^{16} - 19 q^{17} + 18 q^{18} - 12 q^{19} + 3 q^{20} - 6 q^{22} - q^{23} + 55 q^{24} - 193 q^{25} + 31 q^{26} + 17 q^{27} - 138 q^{29} - 28 q^{30} - 45 q^{31} - 63 q^{32} + 18 q^{33} - 13 q^{34} - 225 q^{36} + 16 q^{37} + 60 q^{38} + 81 q^{39} - 86 q^{40} + 36 q^{41} - 39 q^{43} + 61 q^{44} - 113 q^{45} + 52 q^{46} + 43 q^{47} - 101 q^{48} - 182 q^{50} + 49 q^{51} + 129 q^{52} - 6 q^{53} - 143 q^{54} - 20 q^{55} - 57 q^{57} + 21 q^{58} - 51 q^{59} - 89 q^{60} - 29 q^{61} + 43 q^{62} - 193 q^{64} + 17 q^{65} - 14 q^{66} - 17 q^{67} + 236 q^{68} - 15 q^{69} - 7 q^{71} + 232 q^{72} + 132 q^{73} - 119 q^{74} - 28 q^{75} - 71 q^{76} + 13 q^{78} + 6 q^{79} - 43 q^{80} - 198 q^{81} - 122 q^{82} + 23 q^{83} - 61 q^{85} + 55 q^{86} + 110 q^{87} + 127 q^{88} - 7 q^{89} + 131 q^{90} + 89 q^{92} - q^{93} - 65 q^{94} + 14 q^{95} + 130 q^{96} + 74 q^{97} + 36 q^{99} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(3283, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3283, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(67, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(469, [\chi])\)\(^{\oplus 2}\)