Properties

Label 4725.2.hc
Level 4725
Weight 2
Character orbit hc
Rep. character \(\chi_{4725}(2,\cdot)\)
Character field \(\Q(\zeta_{180})\)
Dimension 34368
Sturm bound 1440

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 4725 = 3^{3} \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4725.hc (of order \(180\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4725 \)
Character field: \(\Q(\zeta_{180})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4725, [\chi])\).

Total New Old
Modular forms 34752 34752 0
Cusp forms 34368 34368 0
Eisenstein series 384 384 0

Decomposition of \(S_{2}^{\mathrm{new}}(4725, [\chi])\) into newform subspaces

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

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database