Properties

Label 4800.2.et
Level $4800$
Weight $2$
Character orbit 4800.et
Rep. character $\chi_{4800}(119,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1920$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4800 = 2^{6} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4800.et (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2400 \)
Character field: \(\Q(\zeta_{40})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1920\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4800, [\chi])\).

Total New Old
Modular forms 15488 0 15488
Cusp forms 15232 0 15232
Eisenstein series 256 0 256

Decomposition of \(S_{2}^{\mathrm{old}}(4800, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2400, [\chi])\)\(^{\oplus 2}\)