Properties

Label 4029.2.bd
Level 4029
Weight 2
Character orbit bd
Rep. character \(\chi_{4029}(394,\cdot)\)
Character field \(\Q(\zeta_{16})\)
Dimension 1920
Sturm bound 960

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Defining parameters

Level: \( N \) = \( 4029 = 3 \cdot 17 \cdot 79 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4029.bd (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 1343 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4029, [\chi])\).

Total New Old
Modular forms 3872 1920 1952
Cusp forms 3808 1920 1888
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(4029, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4029, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4029, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1343, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database