Properties

Label 4029.2.w
Level 4029
Weight 2
Character orbit w
Rep. character \(\chi_{4029}(712,\cdot)\)
Character field \(\Q(\zeta_{8})\)
Dimension 944
Sturm bound 960

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Defining parameters

Level: \( N \) = \( 4029 = 3 \cdot 17 \cdot 79 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4029.w (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 17 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 1936 944 992
Cusp forms 1904 944 960
Eisenstein series 32 0 32

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

\( S_{2}^{\mathrm{old}}(4029, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(51, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1343, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database