Properties

Label 2009.1.br
Level $2009$
Weight $1$
Character orbit 2009.br
Rep. character $\chi_{2009}(209,\cdot)$
Character field $\Q(\zeta_{70})$
Dimension $0$
Newform subspaces $0$
Sturm bound $196$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2009 = 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2009.br (of order \(70\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2009 \)
Character field: \(\Q(\zeta_{70})\)
Newform subspaces: \( 0 \)
Sturm bound: \(196\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2009, [\chi])\).

Total New Old
Modular forms 48 48 0
Cusp forms 0 0 0
Eisenstein series 48 48 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