Properties

Label 4031.2.k
Level 4031
Weight 2
Character orbit k
Rep. character \(\chi_{4031}(140,\cdot)\)
Character field \(\Q(\zeta_{7})\)
Dimension 2076
Sturm bound 700

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Defining parameters

Level: \( N \) = \( 4031 = 29 \cdot 139 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4031.k (of order \(7\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 29 \)
Character field: \(\Q(\zeta_{7})\)
Sturm bound: \(700\)

Dimensions

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

Total New Old
Modular forms 2112 2076 36
Cusp forms 2088 2076 12
Eisenstein series 24 0 24

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

\( S_{2}^{\mathrm{old}}(4031, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(29, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database