Properties

Label 1840.2.bs
Level $1840$
Weight $2$
Character orbit 1840.bs
Rep. character $\chi_{1840}(79,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $720$
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.bs (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 460 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(576\)

Dimensions

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

Total New Old
Modular forms 3000 720 2280
Cusp forms 2760 720 2040
Eisenstein series 240 0 240

Trace form

\( 720q - 72q^{9} + O(q^{10}) \) \( 720q - 72q^{9} - 24q^{29} - 24q^{41} + 96q^{49} - 36q^{69} + 384q^{81} - 60q^{85} + O(q^{100}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1840, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 3}\)