Properties

Label 612.1.bm
Level $612$
Weight $1$
Character orbit 612.bm
Rep. character $\chi_{612}(11,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $0$
Newform subspaces $0$
Sturm bound $108$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 612 = 2^{2} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 612.bm (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 612 \)
Character field: \(\Q(\zeta_{48})\)
Newform subspaces: \( 0 \)
Sturm bound: \(108\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(612, [\chi])\).

Total New Old
Modular forms 64 64 0
Cusp forms 0 0 0
Eisenstein series 64 64 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