Properties

Label 7488.2.lw
Level $7488$
Weight $2$
Character orbit 7488.lw
Rep. character $\chi_{7488}(131,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $18432$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 7488 = 2^{6} \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7488.lw (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 576 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7488, [\chi])\).

Total New Old
Modular forms 21568 18432 3136
Cusp forms 21440 18432 3008
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(7488, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7488, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7488, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(576, [\chi])\)\(^{\oplus 2}\)