Properties

Label 5824.2.jj
Level $5824$
Weight $2$
Character orbit 5824.jj
Rep. character $\chi_{5824}(953,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1792$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 5824 = 2^{6} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5824.jj (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 416 \)
Character field: \(\Q(\zeta_{24})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1792\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 7232 0 7232
Cusp forms 7104 0 7104
Eisenstein series 128 0 128

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

\( S_{2}^{\mathrm{old}}(5824, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(416, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2912, [\chi])\)\(^{\oplus 2}\)