Properties

Label 4998.2.cq
Level $4998$
Weight $2$
Character orbit 4998.cq
Rep. character $\chi_{4998}(29,\cdot)$
Character field $\Q(\zeta_{112})$
Dimension $16128$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 4998 = 2 \cdot 3 \cdot 7^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4998.cq (of order \(112\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2499 \)
Character field: \(\Q(\zeta_{112})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4998, [\chi])\).

Total New Old
Modular forms 48768 16128 32640
Cusp forms 48000 16128 31872
Eisenstein series 768 0 768

Decomposition of \(S_{2}^{\mathrm{new}}(4998, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4998, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4998, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2499, [\chi])\)\(^{\oplus 2}\)