Properties

Label 4025.2.bk
Level 4025
Weight 2
Character orbit bk
Rep. character \(\chi_{4025}(622,\cdot)\)
Character field \(\Q(\zeta_{20})\)
Dimension 3520
Sturm bound 960

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 4025 = 5^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4025.bk (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 175 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 3872 3520 352
Cusp forms 3808 3520 288
Eisenstein series 64 0 64

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

\( S_{2}^{\mathrm{old}}(4025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(175, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database