Properties

Label 799.1.t
Level $799$
Weight $1$
Character orbit 799.t
Rep. character $\chi_{799}(3,\cdot)$
Character field $\Q(\zeta_{368})$
Dimension $0$
Newform subspaces $0$
Sturm bound $72$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 799 = 17 \cdot 47 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 799.t (of order \(368\) and degree \(176\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 799 \)
Character field: \(\Q(\zeta_{368})\)
Newform subspaces: \( 0 \)
Sturm bound: \(72\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(799, [\chi])\).

Total New Old
Modular forms 352 352 0
Cusp forms 0 0 0
Eisenstein series 352 352 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