Properties

Label 6027.2.e
Level 6027
Weight 2
Character orbit e
Rep. character \(\chi_{6027}(6026,\cdot)\)
Character field \(\Q\)
Dimension 552
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.e (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 861 \)
Character field: \(\Q\)
Sturm bound: \(1568\)

Dimensions

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

Total New Old
Modular forms 800 568 232
Cusp forms 768 552 216
Eisenstein series 32 16 16

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.

Decomposition of \(S_{2}^{\mathrm{old}}(6027, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(861, [\chi])\)\(^{\oplus 2}\)