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Properties

Label 3283.2.x
Level $3283$
Weight $2$
Character orbit 3283.x
Rep. character $\chi_{3283}(468,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1884$
Sturm bound $634$

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Defining parameters

Level: \( N \) \(=\) \( 3283 = 7^{2} \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3283.x (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3283 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(634\)

Dimensions

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

Total New Old
Modular forms 1908 1908 0
Cusp forms 1884 1884 0
Eisenstein series 24 24 0

Trace form

\( 1884 q + 298 q^{4} - 42 q^{6} - 296 q^{9} + O(q^{10}) \) \( 1884 q + 298 q^{4} - 42 q^{6} - 296 q^{9} - 14 q^{10} - 30 q^{14} + 2 q^{15} - 314 q^{16} - 14 q^{17} - 10 q^{21} + 14 q^{22} - 10 q^{23} - 98 q^{24} - 308 q^{25} - 14 q^{26} + 50 q^{29} - 14 q^{33} - 24 q^{35} + 262 q^{36} - 92 q^{37} - 34 q^{39} + 98 q^{40} + 84 q^{47} - 54 q^{49} + 112 q^{54} - 56 q^{55} + 14 q^{56} - 42 q^{59} + 34 q^{60} - 14 q^{62} + 306 q^{64} + 18 q^{65} - 28 q^{67} - 2 q^{71} - 14 q^{73} - 168 q^{76} - 24 q^{77} - 412 q^{81} - 14 q^{82} - 56 q^{83} - 20 q^{84} + 84 q^{86} - 146 q^{88} - 14 q^{89} - 168 q^{90} + 72 q^{91} + 20 q^{92} - 10 q^{93} - 574 q^{96} + O(q^{100}) \)

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.