Properties

Label 4950.2.et
Level $4950$
Weight $2$
Character orbit 4950.et
Rep. character $\chi_{4950}(229,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $2880$
Sturm bound $2160$

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Defining parameters

Level: \( N \) \(=\) \( 4950 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4950.et (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2475 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(2160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4950, [\chi])\).

Total New Old
Modular forms 8704 2880 5824
Cusp forms 8576 2880 5696
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(4950, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4950, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4950, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2475, [\chi])\)\(^{\oplus 2}\)