Properties

Label 6003.2.dl
Level $6003$
Weight $2$
Character orbit 6003.dl
Rep. character $\chi_{6003}(20,\cdot)$
Character field $\Q(\zeta_{462})$
Dimension $85920$
Sturm bound $1440$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 6003 = 3^{2} \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6003.dl (of order \(462\) and degree \(120\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6003 \)
Character field: \(\Q(\zeta_{462})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6003, [\chi])\).

Total New Old
Modular forms 86880 86880 0
Cusp forms 85920 85920 0
Eisenstein series 960 960 0

Decomposition of \(S_{2}^{\mathrm{new}}(6003, [\chi])\) into newform subspaces

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