Properties

Label 4840.2.cm
Level $4840$
Weight $2$
Character orbit 4840.cm
Rep. character $\chi_{4840}(23,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1584$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4840 = 2^{3} \cdot 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4840.cm (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2420 \)
Character field: \(\Q(\zeta_{44})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1584\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4840, [\chi])\).

Total New Old
Modular forms 16000 0 16000
Cusp forms 15680 0 15680
Eisenstein series 320 0 320

Decomposition of \(S_{2}^{\mathrm{old}}(4840, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2420, [\chi])\)\(^{\oplus 2}\)