Properties

Label 6001.2.dx
Level $6001$
Weight $2$
Character orbit 6001.dx
Rep. character $\chi_{6001}(30,\cdot)$
Character field $\Q(\zeta_{176})$
Dimension $42400$
Sturm bound $1062$

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Defining parameters

Level: \( N \) \(=\) \( 6001 = 17 \cdot 353 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6001.dx (of order \(176\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6001 \)
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 42720 0
Cusp forms 42400 42400 0
Eisenstein series 320 320 0

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

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