Properties

Label 8007.2.db
Level $8007$
Weight $2$
Character orbit 8007.db
Rep. character $\chi_{8007}(641,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $15104$
Sturm bound $1896$

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Defining parameters

Level: \( N \) \(=\) \( 8007 = 3 \cdot 17 \cdot 157 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8007.db (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8007 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(1896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8007, [\chi])\).

Total New Old
Modular forms 15232 15232 0
Cusp forms 15104 15104 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(8007, [\chi])\) into newform subspaces

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