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Properties

Label 1840.4.bm
Level $1840$
Weight $4$
Character orbit 1840.bm
Rep. character $\chi_{1840}(1333,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1720$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1840.bm (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1840 \)
Character field: \(\Q(i)\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1840, [\chi])\).

Total New Old
Modular forms 1736 1736 0
Cusp forms 1720 1720 0
Eisenstein series 16 16 0

Trace form

\( 1720 q - 4 q^{2} - 8 q^{3} - 24 q^{4} - 8 q^{6} - 4 q^{8} + 15336 q^{9} + O(q^{10}) \) \( 1720 q - 4 q^{2} - 8 q^{3} - 24 q^{4} - 8 q^{6} - 4 q^{8} + 15336 q^{9} - 112 q^{12} - 8 q^{13} - 272 q^{16} - 144 q^{18} - 216 q^{24} - 8 q^{26} - 224 q^{27} - 16 q^{31} - 344 q^{32} + 496 q^{35} - 1384 q^{36} - 432 q^{39} - 52 q^{46} - 8 q^{47} + 1276 q^{48} - 1424 q^{50} - 1928 q^{52} - 280 q^{54} + 2044 q^{58} - 2644 q^{62} + 1824 q^{64} - 636 q^{69} - 3536 q^{70} - 2160 q^{72} - 112 q^{75} + 1228 q^{78} + 134120 q^{81} - 6372 q^{82} + 496 q^{85} - 216 q^{87} - 1192 q^{92} - 224 q^{93} + 2136 q^{94} - 8 q^{95} - 8 q^{96} + 4116 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces

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