Properties

Label 9240.2.bn
Level $9240$
Weight $2$
Character orbit 9240.bn
Rep. character $\chi_{9240}(2969,\cdot)$
Character field $\Q$
Dimension $432$
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.bn (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 165 \)
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 2336 432 1904
Cusp forms 2272 432 1840
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

\( S_{2}^{\mathrm{old}}(9240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(330, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(660, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1320, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2310, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4620, [\chi])\)\(^{\oplus 2}\)