Properties

Label 5166.2.dm
Level $5166$
Weight $2$
Character orbit 5166.dm
Rep. character $\chi_{5166}(601,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $2688$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 5166 = 2 \cdot 3^{2} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5166.dm (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2583 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5166, [\chi])\).

Total New Old
Modular forms 8128 2688 5440
Cusp forms 8000 2688 5312
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(5166, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5166, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5166, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2583, [\chi])\)\(^{\oplus 2}\)