Properties

Label 8041.2.dt
Level 8041
Weight 2
Character orbit dt
Rep. character \(\chi_{8041}(409,\cdot)\)
Character field \(\Q(\zeta_{70})\)
Dimension 16896
Sturm bound 1584

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Defining parameters

Level: \( N \) = \( 8041 = 11 \cdot 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8041.dt (of order \(70\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 473 \)
Character field: \(\Q(\zeta_{70})\)
Sturm bound: \(1584\)

Dimensions

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

Total New Old
Modular forms 19104 16896 2208
Cusp forms 18912 16896 2016
Eisenstein series 192 0 192

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

\( S_{2}^{\mathrm{old}}(8041, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(473, [\chi])\)\(^{\oplus 2}\)