Properties

Label 200.1.s
Level 200
Weight 1
Character orbit s
Rep. character \(\chi_{200}(19,\cdot)\)
Character field \(\Q(\zeta_{10})\)
Dimension 0
Newform subspaces 0
Sturm bound 30
Trace bound 0

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Defining parameters

Level: \( N \) = \( 200 = 2^{3} \cdot 5^{2} \)
Weight: \( k \) = \( 1 \)
Character orbit: \([\chi]\) = 200.s (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 200 \)
Character field: \(\Q(\zeta_{10})\)
Newform subspaces: \( 0 \)
Sturm bound: \(30\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(200, [\chi])\).

Total New Old
Modular forms 8 8 0
Cusp forms 0 0 0
Eisenstein series 8 8 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