Properties

Label 9240.2.gf
Level $9240$
Weight $2$
Character orbit 9240.gf
Rep. character $\chi_{9240}(1499,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $6912$
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.gf (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1320 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(4608\)

Dimensions

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

Total New Old
Modular forms 9280 6912 2368
Cusp forms 9152 6912 2240
Eisenstein series 128 0 128

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

\( S_{2}^{\mathrm{old}}(9240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1320, [\chi])\)\(^{\oplus 2}\)