Properties

Label 800.1.k
Level 800
Weight 1
Character orbit k
Rep. character \(\chi_{800}(199,\cdot)\)
Character field \(\Q(\zeta_{4})\)
Dimension 0
Newforms 0
Sturm bound 120
Trace bound 0

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Defining parameters

Level: \( N \) = \( 800 = 2^{5} \cdot 5^{2} \)
Weight: \( k \) = \( 1 \)
Character orbit: \([\chi]\) = 800.k (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 80 \)
Character field: \(\Q(i)\)
Newforms: \( 0 \)
Sturm bound: \(120\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(800, [\chi])\).

Total New Old
Modular forms 24 0 24
Cusp forms 0 0 0
Eisenstein series 24 0 24

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