Properties

Label 9295.2.bf
Level $9295$
Weight $2$
Character orbit 9295.bf
Rep. character $\chi_{9295}(2534,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $3616$
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.bf (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 715 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(2184\)

Dimensions

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

Total New Old
Modular forms 4480 3776 704
Cusp forms 4256 3616 640
Eisenstein series 224 160 64

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

\( S_{2}^{\mathrm{old}}(9295, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(715, [\chi])\)\(^{\oplus 2}\)