Properties

Label 1840.2.cm
Level $1840$
Weight $2$
Character orbit 1840.cm
Rep. character $\chi_{1840}(57,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $0$
Newform subspaces $0$
Sturm bound $576$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1840.cm (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 920 \)
Character field: \(\Q(\zeta_{44})\)
Newform subspaces: \( 0 \)
Sturm bound: \(576\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 5920 0 5920
Cusp forms 5600 0 5600
Eisenstein series 320 0 320

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

\( S_{2}^{\mathrm{old}}(1840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 2}\)