Properties

Label 6048.2.gj
Level $6048$
Weight $2$
Character orbit 6048.gj
Rep. character $\chi_{6048}(1231,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $1704$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 6048 = 2^{5} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6048.gj (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1512 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6048, [\chi])\).

Total New Old
Modular forms 7008 1752 5256
Cusp forms 6816 1704 5112
Eisenstein series 192 48 144

Decomposition of \(S_{2}^{\mathrm{new}}(6048, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6048, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6048, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1512, [\chi])\)\(^{\oplus 3}\)