Properties

Label 8005.2.cm
Level $8005$
Weight $2$
Character orbit 8005.cm
Rep. character $\chi_{8005}(12,\cdot)$
Character field $\Q(\zeta_{320})$
Dimension $102272$
Sturm bound $1602$

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Defining parameters

Level: \( N \) \(=\) \( 8005 = 5 \cdot 1601 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8005.cm (of order \(320\) and degree \(128\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8005 \)
Character field: \(\Q(\zeta_{320})\)
Sturm bound: \(1602\)

Dimensions

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

Total New Old
Modular forms 102784 102784 0
Cusp forms 102272 102272 0
Eisenstein series 512 512 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.