Properties

Label 6047.2.c
Level 6047
Weight 2
Character orbit c
Rep. character \(\chi_{6047}(2,\cdot)\)
Character field \(\Q(\zeta_{3023})\)
Dimension 1520066
Sturm bound 1008

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Defining parameters

Level: \( N \) = \( 6047 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6047.c (of order \(3023\) and degree \(3022\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 6047 \)
Character field: \(\Q(\zeta_{3023})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6047, [\chi])\).

Total New Old
Modular forms 1526110 1526110 0
Cusp forms 1520066 1520066 0
Eisenstein series 6044 6044 0

Decomposition of \(S_{2}^{\mathrm{new}}(6047, [\chi])\) into irreducible Hecke orbits

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