Properties

Label 3200.1.de
Level $3200$
Weight $1$
Character orbit 3200.de
Rep. character $\chi_{3200}(11,\cdot)$
Character field $\Q(\zeta_{160})$
Dimension $0$
Newform subspaces $0$
Sturm bound $480$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3200 = 2^{7} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3200.de (of order \(160\) and degree \(64\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3200 \)
Character field: \(\Q(\zeta_{160})\)
Newform subspaces: \( 0 \)
Sturm bound: \(480\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3200, [\chi])\).

Total New Old
Modular forms 128 128 0
Cusp forms 0 0 0
Eisenstein series 128 128 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