Properties

Label 9240.2.en
Level $9240$
Weight $2$
Character orbit 9240.en
Rep. character $\chi_{9240}(2531,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $2560$
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.en (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 168 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(4608\)

Dimensions

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

Total New Old
Modular forms 4640 2560 2080
Cusp forms 4576 2560 2016
Eisenstein series 64 0 64

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

\( S_{2}^{\mathrm{old}}(9240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(168, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(840, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1848, [\chi])\)\(^{\oplus 2}\)