Properties

Label 4029.2.i
Level 4029
Weight 2
Character orbit i
Rep. character \(\chi_{4029}(766,\cdot)\)
Character field \(\Q(\zeta_{3})\)
Dimension 428
Sturm bound 960

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Defining parameters

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

Dimensions

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

Total New Old
Modular forms 968 428 540
Cusp forms 952 428 524
Eisenstein series 16 0 16

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

\( S_{2}^{\mathrm{old}}(4029, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(79, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(237, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1343, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database