Properties

Label 8027.2.bi
Level 8027
Weight 2
Character orbit bi
Rep. character \(\chi_{8027}(31,\cdot)\)
Character field \(\Q(\zeta_{319})\)
Dimension 195440
Sturm bound 1400

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 8027 = 23 \cdot 349 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8027.bi (of order \(319\) and degree \(280\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 8027 \)
Character field: \(\Q(\zeta_{319})\)
Sturm bound: \(1400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8027, [\chi])\).

Total New Old
Modular forms 196560 196560 0
Cusp forms 195440 195440 0
Eisenstein series 1120 1120 0

Decomposition of \(S_{2}^{\mathrm{new}}(8027, [\chi])\) into irreducible Hecke orbits

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