Properties

Label 9295.2.ew
Level $9295$
Weight $2$
Character orbit 9295.ew
Rep. character $\chi_{9295}(67,\cdot)$
Character field $\Q(\zeta_{156})$
Dimension $43680$
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.ew (of order \(156\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 845 \)
Character field: \(\Q(\zeta_{156})\)
Sturm bound: \(2184\)

Dimensions

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

Total New Old
Modular forms 52608 43680 8928
Cusp forms 52224 43680 8544
Eisenstein series 384 0 384

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

\( S_{2}^{\mathrm{old}}(9295, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 2}\)