Properties

Label 6045.2.el
Level $6045$
Weight $2$
Character orbit 6045.el
Rep. character $\chi_{6045}(1949,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $3552$
Sturm bound $1792$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6045 = 3 \cdot 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6045.el (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6045 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6045, [\chi])\).

Total New Old
Modular forms 3616 3616 0
Cusp forms 3552 3552 0
Eisenstein series 64 64 0

Decomposition of \(S_{2}^{\mathrm{new}}(6045, [\chi])\) into newform subspaces

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