Properties

Label 6023.2.j
Level $6023$
Weight $2$
Character orbit 6023.j
Rep. character $\chi_{6023}(1584,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1056$
Sturm bound $1060$

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Defining parameters

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

Dimensions

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

Total New Old
Modular forms 1064 1064 0
Cusp forms 1056 1056 0
Eisenstein series 8 8 0

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

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