Properties

Label 1840.2.cj
Level $1840$
Weight $2$
Character orbit 1840.cj
Rep. character $\chi_{1840}(19,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $5680$
Sturm bound $576$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1840.cj (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

\( 5680q - 36q^{4} - 22q^{5} - 36q^{6} + O(q^{10}) \) \( 5680q - 36q^{4} - 22q^{5} - 36q^{6} - 22q^{10} - 44q^{11} - 44q^{14} - 44q^{16} - 44q^{19} - 22q^{20} - 44q^{21} - 72q^{24} - 76q^{26} - 36q^{29} - 22q^{30} + 2q^{35} - 100q^{36} - 72q^{39} - 22q^{40} - 44q^{44} - 32q^{46} - 592q^{49} + 62q^{50} - 44q^{51} - 228q^{54} - 36q^{55} - 44q^{56} - 36q^{59} - 22q^{60} - 44q^{61} + 12q^{64} - 44q^{65} - 44q^{66} - 68q^{69} + 24q^{70} - 72q^{71} - 44q^{74} - 6q^{75} - 44q^{76} - 22q^{80} + 432q^{81} - 44q^{84} + 2q^{85} - 44q^{86} - 22q^{90} - 164q^{94} - 116q^{96} - 44q^{99} + O(q^{100}) \)

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

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