Properties

Label 4592.2.cs
Level $4592$
Weight $2$
Character orbit 4592.cs
Rep. character $\chi_{4592}(659,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $2016$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 4592 = 2^{4} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4592.cs (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 656 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4592, [\chi])\).

Total New Old
Modular forms 2704 2016 688
Cusp forms 2672 2016 656
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(4592, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4592, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(656, [\chi])\)\(^{\oplus 2}\)