Properties

Label 8041.2.do
Level 8041
Weight 2
Character orbit do
Rep. character \(\chi_{8041}(251,\cdot)\)
Character field \(\Q(\zeta_{60})\)
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.do (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 8041 \)
Character field: \(\Q(\zeta_{60})\)
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 irreducible Hecke orbits

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