Properties

Label 4400.2.ch
Level $4400$
Weight $2$
Character orbit 4400.ch
Rep. character $\chi_{4400}(711,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1440$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4400 = 2^{4} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4400.ch (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2200 \)
Character field: \(\Q(\zeta_{10})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1440\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4400, [\chi])\).

Total New Old
Modular forms 2912 0 2912
Cusp forms 2848 0 2848
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{old}}(4400, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4400, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2200, [\chi])\)\(^{\oplus 2}\)