Properties

Label 4025.2.de
Level 4025
Weight 2
Character orbit de
Rep. character \(\chi_{4025}(13,\cdot)\)
Character field \(\Q(\zeta_{220})\)
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.de (of order \(220\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4025 \)
Character field: \(\Q(\zeta_{220})\)
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.

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database