Properties

Label 4200.2.gl
Level $4200$
Weight $2$
Character orbit 4200.gl
Rep. character $\chi_{4200}(341,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $7616$
Sturm bound $1920$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4200 = 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4200.gl (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4200 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4200, [\chi])\).

Total New Old
Modular forms 7744 7744 0
Cusp forms 7616 7616 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(4200, [\chi])\) into newform subspaces

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