Properties

Label 8005.2.b
Level $8005$
Weight $2$
Character orbit 8005.b
Rep. character $\chi_{8005}(4804,\cdot)$
Character field $\Q$
Dimension $800$
Sturm bound $1602$

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Defining parameters

Level: \( N \) \(=\) \( 8005 = 5 \cdot 1601 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8005.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5 \)
Character field: \(\Q\)
Sturm bound: \(1602\)

Dimensions

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

Total New Old
Modular forms 804 800 4
Cusp forms 800 800 0
Eisenstein series 4 0 4

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

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