Properties

Label 6019.2.bh
Level $6019$
Weight $2$
Character orbit 6019.bh
Rep. character $\chi_{6019}(1156,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $3228$
Sturm bound $1082$

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Defining parameters

Level: \( N \) \(=\) \( 6019 = 13 \cdot 463 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6019.bh (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6019 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(1082\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6019, [\chi])\).

Total New Old
Modular forms 3252 3252 0
Cusp forms 3228 3228 0
Eisenstein series 24 24 0

Decomposition of \(S_{2}^{\mathrm{new}}(6019, [\chi])\) into newform subspaces

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