Properties

Label 8002.2.q
Level $8002$
Weight $2$
Character orbit 8002.q
Rep. character $\chi_{8002}(5,\cdot)$
Character field $\Q(\zeta_{200})$
Dimension $26720$
Sturm bound $2001$

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Defining parameters

Level: \( N \) \(=\) \( 8002 = 2 \cdot 4001 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8002.q (of order \(200\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4001 \)
Character field: \(\Q(\zeta_{200})\)
Sturm bound: \(2001\)

Dimensions

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

Total New Old
Modular forms 80160 26720 53440
Cusp forms 79840 26720 53120
Eisenstein series 320 0 320

Decomposition of \(S_{2}^{\mathrm{new}}(8002, [\chi])\) into newform subspaces

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

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