Properties

Label 6010.2.bp
Level $6010$
Weight $2$
Character orbit 6010.bp
Rep. character $\chi_{6010}(199,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $2400$
Sturm bound $1806$

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Defining parameters

Level: \( N \) \(=\) \( 6010 = 2 \cdot 5 \cdot 601 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6010.bp (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3005 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(1806\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6010, [\chi])\).

Total New Old
Modular forms 7264 2400 4864
Cusp forms 7200 2400 4800
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(6010, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6010, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6010, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3005, [\chi])\)\(^{\oplus 2}\)