Properties

Label 9200.2.em
Level $9200$
Weight $2$
Character orbit 9200.em
Rep. character $\chi_{9200}(307,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $17200$
Sturm bound $2880$

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Defining parameters

Level: \( N \) \(=\) \( 9200 = 2^{4} \cdot 5^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9200.em (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1840 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(2880\)

Dimensions

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

Total New Old
Modular forms 29040 17360 11680
Cusp forms 28560 17200 11360
Eisenstein series 480 160 320

Decomposition of \(S_{2}^{\mathrm{new}}(9200, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

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

\( S_{2}^{\mathrm{old}}(9200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1840, [\chi])\)\(^{\oplus 2}\)