Properties

Label 3311.1.fo
Level $3311$
Weight $1$
Character orbit 3311.fo
Rep. character $\chi_{3311}(19,\cdot)$
Character field $\Q(\zeta_{210})$
Dimension $0$
Newform subspaces $0$
Sturm bound $352$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3311 = 7 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3311.fo (of order \(210\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3311 \)
Character field: \(\Q(\zeta_{210})\)
Newform subspaces: \( 0 \)
Sturm bound: \(352\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3311, [\chi])\).

Total New Old
Modular forms 192 192 0
Cusp forms 0 0 0
Eisenstein series 192 192 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