Properties

Label 9200.2.er
Level $9200$
Weight $2$
Character orbit 9200.er
Rep. character $\chi_{9200}(41,\cdot)$
Character field $\Q(\zeta_{110})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2880$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 9200 = 2^{4} \cdot 5^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9200.er (of order \(110\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4600 \)
Character field: \(\Q(\zeta_{110})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2880\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9200, [\chi])\).

Total New Old
Modular forms 57920 0 57920
Cusp forms 57280 0 57280
Eisenstein series 640 0 640

Decomposition of \(S_{2}^{\mathrm{old}}(9200, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4600, [\chi])\)\(^{\oplus 2}\)