Properties

Label 6027.2.em
Level 6027
Weight 2
Character orbit em
Rep. character \(\chi_{6027}(13,\cdot)\)
Character field \(\Q(\zeta_{280})\)
Dimension 37632
Sturm bound 1568

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Defining parameters

Level: \( N \) = \( 6027 = 3 \cdot 7^{2} \cdot 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6027.em (of order \(280\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2009 \)
Character field: \(\Q(\zeta_{280})\)
Sturm bound: \(1568\)

Dimensions

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

Total New Old
Modular forms 75648 37632 38016
Cusp forms 74880 37632 37248
Eisenstein series 768 0 768

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

\( S_{2}^{\mathrm{old}}(6027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2009, [\chi])\)\(^{\oplus 2}\)