Properties

Label 9240.2.mh
Level $9240$
Weight $2$
Character orbit 9240.mh
Rep. character $\chi_{9240}(299,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $18304$
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.mh (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9240 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(4608\)

Dimensions

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

Total New Old
Modular forms 18560 18560 0
Cusp forms 18304 18304 0
Eisenstein series 256 256 0

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

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