Properties

Label 6023.2.k
Level $6023$
Weight $2$
Character orbit 6023.k
Rep. character $\chi_{6023}(1586,\cdot)$
Character field $\Q(\zeta_{9})$
Dimension $3156$
Sturm bound $1060$

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Defining parameters

Level: \( N \) \(=\) \( 6023 = 19 \cdot 317 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6023.k (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 19 \)
Character field: \(\Q(\zeta_{9})\)
Sturm bound: \(1060\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6023, [\chi])\).

Total New Old
Modular forms 3192 3156 36
Cusp forms 3168 3156 12
Eisenstein series 24 0 24

Decomposition of \(S_{2}^{\mathrm{new}}(6023, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6023, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6023, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(19, [\chi])\)\(^{\oplus 2}\)