Properties

Label 1840.2.ck
Level $1840$
Weight $2$
Character orbit 1840.ck
Rep. character $\chi_{1840}(29,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $5680$
Sturm bound $576$

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Defining parameters

Level: \( N \) \(=\) \( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1840.ck (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1840 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1840, [\chi])\).

Total New Old
Modular forms 5840 5840 0
Cusp forms 5680 5680 0
Eisenstein series 160 160 0

Trace form

\( 5680q - 36q^{4} - 18q^{5} - 36q^{6} + O(q^{10}) \) \( 5680q - 36q^{4} - 18q^{5} - 36q^{6} - 18q^{10} - 36q^{11} - 20q^{14} - 36q^{15} - 44q^{16} - 20q^{19} - 18q^{20} - 12q^{21} - 88q^{24} - 76q^{26} - 36q^{29} - 26q^{30} - 72q^{31} - 152q^{34} + 2q^{35} - 100q^{36} - 70q^{40} - 36q^{44} - 72q^{45} - 48q^{46} - 592q^{49} - 82q^{50} - 44q^{51} + 60q^{54} + 68q^{56} - 36q^{59} - 2q^{60} - 4q^{61} + 12q^{64} - 36q^{65} - 52q^{66} - 44q^{69} + 24q^{70} - 84q^{74} - 6q^{75} + 28q^{76} - 184q^{79} + 22q^{80} + 432q^{81} + 20q^{84} - 38q^{85} - 4q^{86} + 22q^{90} - 24q^{91} - 20q^{94} - 36q^{95} - 116q^{96} - 132q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces

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