Properties

Label 4840.2.f
Level $4840$
Weight $2$
Character orbit 4840.f
Rep. character $\chi_{4840}(3871,\cdot)$
Character field $\Q$
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.f (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 44 \)
Character field: \(\Q\)
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 840 0 840
Cusp forms 744 0 744
Eisenstein series 96 0 96

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

\( S_{2}^{\mathrm{old}}(4840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(44, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(220, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2420, [\chi])\)\(^{\oplus 2}\)