Properties

Label 6038.2.g
Level $6038$
Weight $2$
Character orbit 6038.g
Rep. character $\chi_{6038}(5,\cdot)$
Character field $\Q(\zeta_{1509})$
Dimension $252004$
Sturm bound $1510$

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Defining parameters

Level: \( N \) \(=\) \( 6038 = 2 \cdot 3019 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6038.g (of order \(1509\) and degree \(1004\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3019 \)
Character field: \(\Q(\zeta_{1509})\)
Sturm bound: \(1510\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6038, [\chi])\).

Total New Old
Modular forms 760028 252004 508024
Cusp forms 756012 252004 504008
Eisenstein series 4016 0 4016

Decomposition of \(S_{2}^{\mathrm{new}}(6038, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6038, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6038, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3019, [\chi])\)\(^{\oplus 2}\)