Properties

Label 4680.2.gk
Level $4680$
Weight $2$
Character orbit 4680.gk
Rep. character $\chi_{4680}(779,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $2000$
Sturm bound $2016$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4680 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4680.gk (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4680 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4680, [\chi])\).

Total New Old
Modular forms 2032 2032 0
Cusp forms 2000 2000 0
Eisenstein series 32 32 0

Decomposition of \(S_{2}^{\mathrm{new}}(4680, [\chi])\) into newform subspaces

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