Properties

Label 1225.1.bq
Level $1225$
Weight $1$
Character orbit 1225.bq
Rep. character $\chi_{1225}(8,\cdot)$
Character field $\Q(\zeta_{140})$
Dimension $0$
Newform subspaces $0$
Sturm bound $140$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1225 = 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1225.bq (of order \(140\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1225 \)
Character field: \(\Q(\zeta_{140})\)
Newform subspaces: \( 0 \)
Sturm bound: \(140\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1225, [\chi])\).

Total New Old
Modular forms 96 96 0
Cusp forms 0 0 0
Eisenstein series 96 96 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