Properties

Label 1045.1.ct
Level $1045$
Weight $1$
Character orbit 1045.ct
Rep. character $\chi_{1045}(42,\cdot)$
Character field $\Q(\zeta_{180})$
Dimension $0$
Newform subspaces $0$
Sturm bound $120$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1045 = 5 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1045.ct (of order \(180\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1045 \)
Character field: \(\Q(\zeta_{180})\)
Newform subspaces: \( 0 \)
Sturm bound: \(120\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1045, [\chi])\).

Total New Old
Modular forms 192 192 0
Cusp forms 0 0 0
Eisenstein series 192 192 0

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 0 0