Properties

Label 1840.2.r
Level $1840$
Weight $2$
Character orbit 1840.r
Rep. character $\chi_{1840}(413,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $568$
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.r (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

\( 568q - 4q^{2} - 8q^{4} - 8q^{6} - 4q^{8} - 552q^{9} + O(q^{10}) \) \( 568q - 4q^{2} - 8q^{4} - 8q^{6} - 4q^{8} - 552q^{9} + 8q^{12} - 16q^{16} + 24q^{24} - 8q^{26} - 16q^{31} - 24q^{32} - 24q^{35} - 8q^{36} + 48q^{39} - 20q^{46} - 8q^{47} - 76q^{48} - 24q^{50} + 8q^{52} + 40q^{54} + 20q^{58} + 44q^{62} - 32q^{64} - 4q^{69} - 16q^{70} - 24q^{72} + 8q^{75} - 64q^{77} - 28q^{78} + 488q^{81} + 4q^{82} - 24q^{85} + 24q^{87} - 76q^{92} - 8q^{94} - 8q^{95} - 8q^{96} + 60q^{98} + O(q^{100}) \)

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

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