Properties

Label 6040.2.fk
Level $6040$
Weight $2$
Character orbit 6040.fk
Rep. character $\chi_{6040}(43,\cdot)$
Character field $\Q(\zeta_{300})$
Dimension $72640$
Sturm bound $1824$

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Defining parameters

Level: \( N \) \(=\) \( 6040 = 2^{3} \cdot 5 \cdot 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6040.fk (of order \(300\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6040 \)
Character field: \(\Q(\zeta_{300})\)
Sturm bound: \(1824\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).

Total New Old
Modular forms 73280 73280 0
Cusp forms 72640 72640 0
Eisenstein series 640 640 0

Decomposition of \(S_{2}^{\mathrm{new}}(6040, [\chi])\) into newform subspaces

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