Properties

Label 5166.2.bu
Level $5166$
Weight $2$
Character orbit 5166.bu
Rep. character $\chi_{5166}(55,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $560$
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.bu (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 287 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(2016\)

Dimensions

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

Total New Old
Modular forms 4096 560 3536
Cusp forms 3968 560 3408
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

\( S_{2}^{\mathrm{old}}(5166, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(287, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(574, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(861, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1722, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2583, [\chi])\)\(^{\oplus 2}\)