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Properties

Label 3283.2.bv
Level $3283$
Weight $2$
Character orbit 3283.bv
Rep. character $\chi_{3283}(38,\cdot)$
Character field $\Q(\zeta_{42})$
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.bv (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3283 \)
Character field: \(\Q(\zeta_{42})\)
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

\( 3780 q - 21 q^{2} - q^{3} + 619 q^{4} + 9 q^{6} - 14 q^{7} + 300 q^{9} + O(q^{10}) \) \( 3780 q - 21 q^{2} - q^{3} + 619 q^{4} + 9 q^{6} - 14 q^{7} + 300 q^{9} - 22 q^{10} - 21 q^{11} - 14 q^{12} - 35 q^{13} - 27 q^{14} - 32 q^{15} - 621 q^{16} - 10 q^{17} - 21 q^{18} - 9 q^{20} - 6 q^{21} - 20 q^{22} - 5 q^{23} - 34 q^{24} + 279 q^{25} - 16 q^{26} + 8 q^{27} - 172 q^{28} + 49 q^{29} - 70 q^{31} - 147 q^{32} - 4 q^{33} - 21 q^{34} - 21 q^{35} - 266 q^{36} + 39 q^{37} - 9 q^{38} + 23 q^{39} + 34 q^{40} - 66 q^{41} - 42 q^{42} - 21 q^{44} + 162 q^{45} - 147 q^{46} - 84 q^{47} + 63 q^{48} + 40 q^{49} - 60 q^{50} - 105 q^{51} - 62 q^{52} + 12 q^{53} - 7 q^{54} + 35 q^{55} - 17 q^{56} + 18 q^{58} - 24 q^{59} + 53 q^{60} - 44 q^{61} - 70 q^{62} + 57 q^{63} + 590 q^{64} - 9 q^{65} - 18 q^{66} - 27 q^{67} - 57 q^{68} + 27 q^{69} - 6 q^{70} - 7 q^{71} + 186 q^{72} - 4 q^{73} - 21 q^{74} + 41 q^{75} + 210 q^{76} - 24 q^{77} - 99 q^{78} + 36 q^{79} - 153 q^{80} + 161 q^{81} + 20 q^{82} - 133 q^{83} - 3 q^{84} - 168 q^{85} - 123 q^{86} - 33 q^{87} - 154 q^{88} + 56 q^{89} + 273 q^{90} + 79 q^{91} + 16 q^{92} - 97 q^{93} + 24 q^{94} + 195 q^{95} + 376 q^{96} - 13 q^{97} + 39 q^{98} - 72 q^{99} + O(q^{100}) \)

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.