Properties

Label 309.1.p
Level $309$
Weight $1$
Character orbit 309.p
Rep. character $\chi_{309}(40,\cdot)$
Character field $\Q(\zeta_{102})$
Dimension $0$
Newform subspaces $0$
Sturm bound $34$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 309 = 3 \cdot 103 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 309.p (of order \(102\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 103 \)
Character field: \(\Q(\zeta_{102})\)
Newform subspaces: \( 0 \)
Sturm bound: \(34\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(309, [\chi])\).

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

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