Properties

Label 4029.2.bs
Level 4029
Weight 2
Character orbit bs
Rep. character \(\chi_{4029}(256,\cdot)\)
Character field \(\Q(\zeta_{39})\)
Dimension 5136
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.bs (of order \(39\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 79 \)
Character field: \(\Q(\zeta_{39})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 11616 5136 6480
Cusp forms 11424 5136 6288
Eisenstein series 192 0 192

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