Properties

Label 8041.2.v
Level 8041
Weight 2
Character orbit v
Rep. character \(\chi_{8041}(188,\cdot)\)
Character field \(\Q(\zeta_{7})\)
Dimension 3504
Sturm bound 1584

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Defining parameters

Level: \( N \) = \( 8041 = 11 \cdot 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8041.v (of order \(7\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 43 \)
Character field: \(\Q(\zeta_{7})\)
Sturm bound: \(1584\)

Dimensions

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

Total New Old
Modular forms 4776 3504 1272
Cusp forms 4728 3504 1224
Eisenstein series 48 0 48

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

\( S_{2}^{\mathrm{old}}(8041, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(43, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(473, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(731, [\chi])\)\(^{\oplus 2}\)