Properties

Label 2888.1.bc
Level $2888$
Weight $1$
Character orbit 2888.bc
Rep. character $\chi_{2888}(113,\cdot)$
Character field $\Q(\zeta_{38})$
Dimension $0$
Newform subspaces $0$
Sturm bound $380$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2888 = 2^{3} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2888.bc (of order \(38\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 361 \)
Character field: \(\Q(\zeta_{38})\)
Newform subspaces: \( 0 \)
Sturm bound: \(380\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2888, [\chi])\).

Total New Old
Modular forms 72 0 72
Cusp forms 0 0 0
Eisenstein series 72 0 72

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