Properties

Label 6019.2.ca
Level $6019$
Weight $2$
Character orbit 6019.ca
Rep. character $\chi_{6019}(641,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $6468$
Sturm bound $1082$

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Defining parameters

Level: \( N \) \(=\) \( 6019 = 13 \cdot 463 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6019.ca (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6019 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(1082\)

Dimensions

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

Total New Old
Modular forms 6516 6516 0
Cusp forms 6468 6468 0
Eisenstein series 48 48 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.