Properties

Label 6045.2.ce
Level $6045$
Weight $2$
Character orbit 6045.ce
Rep. character $\chi_{6045}(1049,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1776$
Sturm bound $1792$

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Defining parameters

Level: \( N \) \(=\) \( 6045 = 3 \cdot 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6045.ce (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6045 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6045, [\chi])\).

Total New Old
Modular forms 1808 1808 0
Cusp forms 1776 1776 0
Eisenstein series 32 32 0

Decomposition of \(S_{2}^{\mathrm{new}}(6045, [\chi])\) into newform subspaces

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