Properties

Label 441.1.bj
Level $441$
Weight $1$
Character orbit 441.bj
Rep. character $\chi_{441}(10,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $0$
Newform subspaces $0$
Sturm bound $56$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 441.bj (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 49 \)
Character field: \(\Q(\zeta_{42})\)
Newform subspaces: \( 0 \)
Sturm bound: \(56\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(441, [\chi])\).

Total New Old
Modular forms 48 12 36
Cusp forms 0 0 0
Eisenstein series 48 12 36

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