Properties

Label 9792.2.mb
Level $9792$
Weight $2$
Character orbit 9792.mb
Rep. character $\chi_{9792}(659,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $27584$
Sturm bound $3456$

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Defining parameters

Level: \( N \) \(=\) \( 9792 = 2^{6} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9792.mb (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9792 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(3456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9792, [\chi])\).

Total New Old
Modular forms 27712 27712 0
Cusp forms 27584 27584 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(9792, [\chi])\) into newform subspaces

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