Properties

Label 1323.1.cj
Level $1323$
Weight $1$
Character orbit 1323.cj
Rep. character $\chi_{1323}(61,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $0$
Newform subspaces $0$
Sturm bound $168$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1323 = 3^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1323.cj (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1323 \)
Character field: \(\Q(\zeta_{126})\)
Newform subspaces: \( 0 \)
Sturm bound: \(168\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1323, [\chi])\).

Total New Old
Modular forms 72 72 0
Cusp forms 0 0 0
Eisenstein series 72 72 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