Properties

Label 6019.2.f
Level $6019$
Weight $2$
Character orbit 6019.f
Rep. character $\chi_{6019}(1873,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $928$
Sturm bound $1082$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6019 = 13 \cdot 463 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6019.f (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 463 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(1082\)

Dimensions

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

Total New Old
Modular forms 1088 928 160
Cusp forms 1080 928 152
Eisenstein series 8 0 8

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(6019, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6019, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(463, [\chi])\)\(^{\oplus 2}\)