Properties

Label 6039.2.nk
Level $6039$
Weight $2$
Character orbit 6039.nk
Rep. character $\chi_{6039}(811,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $4928$
Sturm bound $1488$

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Defining parameters

Level: \( N \) \(=\) \( 6039 = 3^{2} \cdot 11 \cdot 61 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6039.nk (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 671 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(1488\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6039, [\chi])\).

Total New Old
Modular forms 12032 4992 7040
Cusp forms 11776 4928 6848
Eisenstein series 256 64 192

Decomposition of \(S_{2}^{\mathrm{new}}(6039, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6039, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6039, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(671, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2013, [\chi])\)\(^{\oplus 2}\)