Properties

Label 8005.2.l
Level $8005$
Weight $2$
Character orbit 8005.l
Rep. character $\chi_{8005}(1291,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $2136$
Sturm bound $1602$

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Defining parameters

Level: \( N \) \(=\) \( 8005 = 5 \cdot 1601 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8005.l (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1601 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(1602\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8005, [\chi])\).

Total New Old
Modular forms 3208 2136 1072
Cusp forms 3192 2136 1056
Eisenstein series 16 0 16

Decomposition of \(S_{2}^{\mathrm{new}}(8005, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8005, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8005, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1601, [\chi])\)\(^{\oplus 2}\)