Properties

Label 8002.2.r
Level 8002
Weight 2
Character orbit r
Rep. character \(\chi_{8002}(65,\cdot)\)
Character field \(\Q(\zeta_{250})\)
Dimension 33400
Sturm bound 2001

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Defining parameters

Level: \( N \) = \( 8002 = 2 \cdot 4001 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8002.r (of order \(250\) and degree \(100\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4001 \)
Character field: \(\Q(\zeta_{250})\)
Sturm bound: \(2001\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8002, [\chi])\).

Total New Old
Modular forms 100200 33400 66800
Cusp forms 99800 33400 66400
Eisenstein series 400 0 400

Decomposition of \(S_{2}^{\mathrm{new}}(8002, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(8002, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8002, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4001, [\chi])\)\(^{\oplus 2}\)