Properties

Label 5824.2.in
Level $5824$
Weight $2$
Character orbit 5824.in
Rep. character $\chi_{5824}(365,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $4608$
Sturm bound $1792$

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Defining parameters

Level: \( N \) \(=\) \( 5824 = 2^{6} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5824.in (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 64 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5824, [\chi])\).

Total New Old
Modular forms 7200 4608 2592
Cusp forms 7136 4608 2528
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(5824, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5824, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5824, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(64, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(832, [\chi])\)\(^{\oplus 2}\)