Properties

Label 6010.2.cq
Level $6010$
Weight $2$
Character orbit 6010.cq
Rep. character $\chi_{6010}(9,\cdot)$
Character field $\Q(\zeta_{150})$
Dimension $12000$
Sturm bound $1806$

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Defining parameters

Level: \( N \) \(=\) \( 6010 = 2 \cdot 5 \cdot 601 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6010.cq (of order \(150\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3005 \)
Character field: \(\Q(\zeta_{150})\)
Sturm bound: \(1806\)

Dimensions

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

Total New Old
Modular forms 36320 12000 24320
Cusp forms 36000 12000 24000
Eisenstein series 320 0 320

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

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