Properties

Label 961.1.m
Level $961$
Weight $1$
Character orbit 961.m
Rep. character $\chi_{961}(6,\cdot)$
Character field $\Q(\zeta_{186})$
Dimension $0$
Newform subspaces $0$
Sturm bound $82$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 961 = 31^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 961.m (of order \(186\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 961 \)
Character field: \(\Q(\zeta_{186})\)
Newform subspaces: \( 0 \)
Sturm bound: \(82\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(961, [\chi])\).

Total New Old
Modular forms 60 60 0
Cusp forms 0 0 0
Eisenstein series 60 60 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