Properties

Label 4025.2.bd
Level 4025
Weight 2
Character orbit bd
Rep. character \(\chi_{4025}(507,\cdot)\)
Character field \(\Q(\zeta_{12})\)
Dimension 1056
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.bd (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 35 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 1968 1056 912
Cusp forms 1872 1056 816
Eisenstein series 96 0 96

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

\( S_{2}^{\mathrm{old}}(4025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(35, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(175, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database