Properties

Label 6012.2.p
Level $6012$
Weight $2$
Character orbit 6012.p
Rep. character $\chi_{6012}(2671,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $2008$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 6012 = 2^{2} \cdot 3^{2} \cdot 167 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6012.p (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6012 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6012, [\chi])\).

Total New Old
Modular forms 2024 2024 0
Cusp forms 2008 2008 0
Eisenstein series 16 16 0

Decomposition of \(S_{2}^{\mathrm{new}}(6012, [\chi])\) into newform subspaces

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

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database