Properties

Label 8041.2.df
Level $8041$
Weight $2$
Character orbit 8041.df
Rep. character $\chi_{8041}(1253,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $12608$
Sturm bound $1584$

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Defining parameters

Level: \( N \) \(=\) \( 8041 = 11 \cdot 17 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8041.df (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8041 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8041, [\chi])\).

Total New Old
Modular forms 12736 12736 0
Cusp forms 12608 12608 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(8041, [\chi])\) into newform subspaces

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