Properties

Label 1840.2.bj
Level $1840$
Weight $2$
Character orbit 1840.bj
Rep. character $\chi_{1840}(459,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $568$
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.bj (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1840 \)
Character field: \(\Q(i)\)
Sturm bound: \(576\)

Dimensions

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

Total New Old
Modular forms 584 584 0
Cusp forms 568 568 0
Eisenstein series 16 16 0

Trace form

\( 568q - 8q^{4} - 8q^{6} + O(q^{10}) \) \( 568q - 8q^{4} - 8q^{6} - 16q^{24} + 32q^{26} - 8q^{29} - 24q^{35} + 56q^{36} - 16q^{39} - 12q^{46} + 504q^{49} - 84q^{50} + 8q^{54} - 8q^{55} - 8q^{59} - 56q^{64} + 24q^{69} - 68q^{70} - 16q^{71} - 16q^{75} - 520q^{81} - 24q^{85} + 32q^{94} + 72q^{96} + O(q^{100}) \)

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

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