Properties

Label 4025.2.bq
Level 4025
Weight 2
Character orbit bq
Rep. character \(\chi_{4025}(1049,\cdot)\)
Character field \(\Q(\zeta_{22})\)
Dimension 2840
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.bq (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 805 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 4920 2920 2000
Cusp forms 4680 2840 1840
Eisenstein series 240 80 160

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(4025, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database