Properties

Label 4025.2.dr
Level 4025
Weight 2
Character orbit dr
Rep. character \(\chi_{4025}(37,\cdot)\)
Character field \(\Q(\zeta_{660})\)
Dimension 76160
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.dr (of order \(660\) and degree \(160\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4025 \)
Character field: \(\Q(\zeta_{660})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 77440 77440 0
Cusp forms 76160 76160 0
Eisenstein series 1280 1280 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