Properties

Label 8041.2.k
Level 8041
Weight 2
Character orbit k
Rep. character \(\chi_{8041}(6150,\cdot)\)
Character field \(\Q(\zeta_{4})\)
Dimension 1256
Sturm bound 1584

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Defining parameters

Level: \( N \) = \( 8041 = 11 \cdot 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8041.k (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 17 \)
Character field: \(\Q(i)\)
Sturm bound: \(1584\)

Dimensions

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

Total New Old
Modular forms 1592 1256 336
Cusp forms 1576 1256 320
Eisenstein series 16 0 16

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

\( S_{2}^{\mathrm{old}}(8041, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(187, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(731, [\chi])\)\(^{\oplus 2}\)