Properties

Label 6001.2.s
Level $6001$
Weight $2$
Character orbit 6001.s
Rep. character $\chi_{6001}(1175,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $2120$
Sturm bound $1062$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 6001 = 17 \cdot 353 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6001.s (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6001 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(1062\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6001, [\chi])\).

Total New Old
Modular forms 2136 2136 0
Cusp forms 2120 2120 0
Eisenstein series 16 16 0

Decomposition of \(S_{2}^{\mathrm{new}}(6001, [\chi])\) into newform subspaces

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