Properties

Label 9240.2.n
Level $9240$
Weight $2$
Character orbit 9240.n
Rep. character $\chi_{9240}(2771,\cdot)$
Character field $\Q$
Dimension $1536$
Sturm bound $4608$

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Defining parameters

Level: \( N \) \(=\) \( 9240 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9240.n (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1848 \)
Character field: \(\Q\)
Sturm bound: \(4608\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9240, [\chi])\).

Total New Old
Modular forms 2320 1536 784
Cusp forms 2288 1536 752
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(9240, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9240, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1848, [\chi])\)\(^{\oplus 2}\)