Properties

Label 8005.2.cv
Level $8005$
Weight $2$
Character orbit 8005.cv
Rep. character $\chi_{8005}(9,\cdot)$
Character field $\Q(\zeta_{800})$
Dimension $255360$
Sturm bound $1602$

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Defining parameters

Level: \( N \) \(=\) \( 8005 = 5 \cdot 1601 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8005.cv (of order \(800\) and degree \(320\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8005 \)
Character field: \(\Q(\zeta_{800})\)
Sturm bound: \(1602\)

Dimensions

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

Total New Old
Modular forms 256640 256640 0
Cusp forms 255360 255360 0
Eisenstein series 1280 1280 0

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

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