Properties

Label 5472.2.gz
Level $5472$
Weight $2$
Character orbit 5472.gz
Rep. character $\chi_{5472}(467,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $2560$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 5472 = 2^{5} \cdot 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5472.gz (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1824 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5472, [\chi])\).

Total New Old
Modular forms 7744 2560 5184
Cusp forms 7616 2560 5056
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(5472, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5472, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5472, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1824, [\chi])\)\(^{\oplus 2}\)