Properties

Label 6069.2.cp
Level $6069$
Weight $2$
Character orbit 6069.cp
Rep. character $\chi_{6069}(47,\cdot)$
Character field $\Q(\zeta_{204})$
Dimension $51968$
Sturm bound $1632$

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Defining parameters

Level: \( N \) \(=\) \( 6069 = 3 \cdot 7 \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6069.cp (of order \(204\) and degree \(64\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6069 \)
Character field: \(\Q(\zeta_{204})\)
Sturm bound: \(1632\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6069, [\chi])\).

Total New Old
Modular forms 52480 52480 0
Cusp forms 51968 51968 0
Eisenstein series 512 512 0

Decomposition of \(S_{2}^{\mathrm{new}}(6069, [\chi])\) into newform subspaces

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