Properties

Label 8002.2.t
Level 8002
Weight 2
Character orbit t
Rep. character \(\chi_{8002}(49,\cdot)\)
Character field \(\Q(\zeta_{500})\)
Dimension 66800
Sturm bound 2001

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Defining parameters

Level: \( N \) = \( 8002 = 2 \cdot 4001 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8002.t (of order \(500\) and degree \(200\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4001 \)
Character field: \(\Q(\zeta_{500})\)
Sturm bound: \(2001\)

Dimensions

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

Total New Old
Modular forms 200400 66800 133600
Cusp forms 199600 66800 132800
Eisenstein series 800 0 800

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

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