Properties

Label 1840.2.cr
Level $1840$
Weight $2$
Character orbit 1840.cr
Rep. character $\chi_{1840}(127,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $1440$
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.cr (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 460 \)
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 6000 1440 4560
Cusp forms 5520 1440 4080
Eisenstein series 480 0 480

Trace form

\( 1440q + O(q^{10}) \) \( 1440q + 48q^{21} - 48q^{41} + 48q^{53} + 96q^{57} + 96q^{65} - 48q^{77} + 96q^{81} + 216q^{85} + 48q^{93} + O(q^{100}) \)

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

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