Properties

Label 9295.2.fu
Level $9295$
Weight $2$
Character orbit 9295.fu
Rep. character $\chi_{9295}(6,\cdot)$
Character field $\Q(\zeta_{780})$
Dimension $139776$
Sturm bound $2184$

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Defining parameters

Level: \( N \) \(=\) \( 9295 = 5 \cdot 11 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9295.fu (of order \(780\) and degree \(192\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1859 \)
Character field: \(\Q(\zeta_{780})\)
Sturm bound: \(2184\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9295, [\chi])\).

Total New Old
Modular forms 210432 139776 70656
Cusp forms 208896 139776 69120
Eisenstein series 1536 0 1536

Decomposition of \(S_{2}^{\mathrm{new}}(9295, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9295, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9295, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1859, [\chi])\)\(^{\oplus 2}\)