Properties

Label 4025.2.dm
Level $4025$
Weight $2$
Character orbit 4025.dm
Rep. character $\chi_{4025}(4,\cdot)$
Character field $\Q(\zeta_{330})$
Dimension $38080$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 4025 = 5^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4025.dm (of order \(330\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4025 \)
Character field: \(\Q(\zeta_{330})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4025, [\chi])\).

Total New Old
Modular forms 38720 38720 0
Cusp forms 38080 38080 0
Eisenstein series 640 640 0

Decomposition of \(S_{2}^{\mathrm{new}}(4025, [\chi])\) into newform subspaces

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