Properties

Label 4031.2.e
Level 4031
Weight 2
Character orbit e
Rep. character \(\chi_{4031}(320,\cdot)\)
Character field \(\Q(\zeta_{3})\)
Dimension 652
Sturm bound 700

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Defining parameters

Level: \( N \) = \( 4031 = 29 \cdot 139 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4031.e (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 139 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(700\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4031, [\chi])\).

Total New Old
Modular forms 704 652 52
Cusp forms 696 652 44
Eisenstein series 8 0 8

Decomposition of \(S_{2}^{\mathrm{new}}(4031, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4031, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4031, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(139, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database