Properties

Label 4029.2.b
Level 4029
Weight 2
Character orbit b
Rep. character \(\chi_{4029}(3554,\cdot)\)
Character field \(\Q\)
Dimension 428
Sturm bound 960

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 4029 = 3 \cdot 17 \cdot 79 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4029.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 237 \)
Character field: \(\Q\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 484 428 56
Cusp forms 476 428 48
Eisenstein series 8 0 8

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

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

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database