Properties

Label 8004.2.cy
Level $8004$
Weight $2$
Character orbit 8004.cy
Rep. character $\chi_{8004}(239,\cdot)$
Character field $\Q(\zeta_{154})$
Dimension $85920$
Sturm bound $2880$

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Defining parameters

Level: \( N \) \(=\) \( 8004 = 2^{2} \cdot 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8004.cy (of order \(154\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8004 \)
Character field: \(\Q(\zeta_{154})\)
Sturm bound: \(2880\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8004, [\chi])\).

Total New Old
Modular forms 86880 86880 0
Cusp forms 85920 85920 0
Eisenstein series 960 960 0

Decomposition of \(S_{2}^{\mathrm{new}}(8004, [\chi])\) into newform subspaces

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