Properties

Label 6023.2.s
Level $6023$
Weight $2$
Character orbit 6023.s
Rep. character $\chi_{6023}(438,\cdot)$
Character field $\Q(\zeta_{79})$
Dimension $37284$
Sturm bound $1060$

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Defining parameters

Level: \( N \) \(=\) \( 6023 = 19 \cdot 317 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6023.s (of order \(79\) and degree \(78\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 317 \)
Character field: \(\Q(\zeta_{79})\)
Sturm bound: \(1060\)

Dimensions

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

Total New Old
Modular forms 41496 37284 4212
Cusp forms 41184 37284 3900
Eisenstein series 312 0 312

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

\( S_{2}^{\mathrm{old}}(6023, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(317, [\chi])\)\(^{\oplus 2}\)