Properties

Label 4719.2.dm
Level $4719$
Weight $2$
Character orbit 4719.dm
Rep. character $\chi_{4719}(17,\cdot)$
Character field $\Q(\zeta_{330})$
Dimension $48960$
Sturm bound $1232$

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Defining parameters

Level: \( N \) \(=\) \( 4719 = 3 \cdot 11^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4719.dm (of order \(330\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4719 \)
Character field: \(\Q(\zeta_{330})\)
Sturm bound: \(1232\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4719, [\chi])\).

Total New Old
Modular forms 49600 49600 0
Cusp forms 48960 48960 0
Eisenstein series 640 640 0

Decomposition of \(S_{2}^{\mathrm{new}}(4719, [\chi])\) into newform subspaces

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