Properties

Label 1840.2.bw
Level $1840$
Weight $2$
Character orbit 1840.bw
Rep. character $\chi_{1840}(111,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $480$
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.bw (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 92 \)
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 480 2520
Cusp forms 2760 480 2280
Eisenstein series 240 0 240

Trace form

\( 480q + 48q^{9} + O(q^{10}) \) \( 480q + 48q^{9} + 48q^{25} - 24q^{29} + 24q^{41} - 24q^{49} - 60q^{69} + 96q^{77} - 72q^{81} + 264q^{89} - 96q^{93} + 264q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(1840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 3}\)