Properties

Label 8041.2.fk
Level 8041
Weight 2
Character orbit fk
Rep. character \(\chi_{8041}(12,\cdot)\)
Character field \(\Q(\zeta_{336})\)
Dimension 63360
Sturm bound 1584

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Defining parameters

Level: \( N \) = \( 8041 = 11 \cdot 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8041.fk (of order \(336\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 731 \)
Character field: \(\Q(\zeta_{336})\)
Sturm bound: \(1584\)

Dimensions

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

Total New Old
Modular forms 76416 63360 13056
Cusp forms 75648 63360 12288
Eisenstein series 768 0 768

Decomposition of \(S_{2}^{\mathrm{new}}(8041, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(8041, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8041, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(731, [\chi])\)\(^{\oplus 2}\)