Properties

Label 3920.2.eg
Level $3920$
Weight $2$
Character orbit 3920.eg
Rep. character $\chi_{3920}(29,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $8016$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 3920 = 2^{4} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3920.eg (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3920 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3920, [\chi])\).

Total New Old
Modular forms 8112 8112 0
Cusp forms 8016 8016 0
Eisenstein series 96 96 0

Trace form

\( 8016q - 20q^{4} - 10q^{5} - 20q^{6} + O(q^{10}) \) \( 8016q - 20q^{4} - 10q^{5} - 20q^{6} + 2q^{10} - 20q^{11} - 24q^{14} - 20q^{15} - 20q^{16} - 48q^{19} - 10q^{20} - 12q^{21} - 20q^{24} - 20q^{26} - 20q^{29} - 32q^{30} + 192q^{31} + 124q^{34} + 10q^{35} - 52q^{36} + 30q^{40} - 60q^{44} - 42q^{45} - 4q^{46} - 48q^{49} - 28q^{50} - 44q^{51} - 12q^{54} + 4q^{56} - 52q^{59} + 6q^{60} - 20q^{61} - 44q^{64} - 20q^{65} + 12q^{66} + 4q^{69} - 10q^{70} + 68q^{74} + 2q^{75} - 320q^{76} - 96q^{79} + 92q^{80} + 1232q^{81} + 52q^{84} - 30q^{85} - 36q^{86} - 22q^{90} - 12q^{91} - 36q^{94} - 68q^{95} + 80q^{96} - 144q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3920, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.