Properties

Label 6018.2.bc
Level $6018$
Weight $2$
Character orbit 6018.bc
Rep. character $\chi_{6018}(361,\cdot)$
Character field $\Q(\zeta_{116})$
Dimension $10080$
Sturm bound $2160$

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Defining parameters

Level: \( N \) \(=\) \( 6018 = 2 \cdot 3 \cdot 17 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6018.bc (of order \(116\) and degree \(56\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1003 \)
Character field: \(\Q(\zeta_{116})\)
Sturm bound: \(2160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6018, [\chi])\).

Total New Old
Modular forms 60928 10080 50848
Cusp forms 60032 10080 49952
Eisenstein series 896 0 896

Decomposition of \(S_{2}^{\mathrm{new}}(6018, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6018, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1003, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2006, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3009, [\chi])\)\(^{\oplus 2}\)