Properties

Label 6013.2.f
Level $6013$
Weight $2$
Character orbit 6013.f
Rep. character $\chi_{6013}(260,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $860$
Sturm bound $1146$

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Defining parameters

Level: \( N \) \(=\) \( 6013 = 7 \cdot 859 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6013.f (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 859 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(1146\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6013, [\chi])\).

Total New Old
Modular forms 1152 860 292
Cusp forms 1144 860 284
Eisenstein series 8 0 8

Decomposition of \(S_{2}^{\mathrm{new}}(6013, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6013, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6013, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(859, [\chi])\)\(^{\oplus 2}\)