Properties

Label 6001.2.dy
Level $6001$
Weight $2$
Character orbit 6001.dy
Rep. character $\chi_{6001}(18,\cdot)$
Character field $\Q(\zeta_{176})$
Dimension $37760$
Sturm bound $1062$

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Defining parameters

Level: \( N \) \(=\) \( 6001 = 17 \cdot 353 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6001.dy (of order \(176\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 353 \)
Character field: \(\Q(\zeta_{176})\)
Sturm bound: \(1062\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6001, [\chi])\).

Total New Old
Modular forms 42720 37760 4960
Cusp forms 42400 37760 4640
Eisenstein series 320 0 320

Decomposition of \(S_{2}^{\mathrm{new}}(6001, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6001, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6001, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(353, [\chi])\)\(^{\oplus 2}\)