Properties

Label 6027.2.cd
Level 6027
Weight 2
Character orbit cd
Rep. character \(\chi_{6027}(419,\cdot)\)
Character field \(\Q(\zeta_{28})\)
Dimension 9360
Sturm bound 1568

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 6027 = 3 \cdot 7^{2} \cdot 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6027.cd (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 6027 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(1568\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6027, [\chi])\).

Total New Old
Modular forms 9456 9456 0
Cusp forms 9360 9360 0
Eisenstein series 96 96 0

Decomposition of \(S_{2}^{\mathrm{new}}(6027, [\chi])\) into irreducible Hecke orbits

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