Properties

Label 5472.2.cj
Level $5472$
Weight $2$
Character orbit 5472.cj
Rep. character $\chi_{5472}(49,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $472$
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.cj (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1368 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1920\)

Dimensions

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

Total New Old
Modular forms 1952 488 1464
Cusp forms 1888 472 1416
Eisenstein series 64 16 48

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

\( S_{2}^{\mathrm{old}}(5472, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1368, [\chi])\)\(^{\oplus 3}\)