Space of modular forms of level 59, weight 1, and Character 59.d

• Label: 59.1.d
• Level: $59$
• Weight: $1$
• Character orbit: 59.d
• Rep. character: $\chi_{59}(2,\cdot)$
• Character field: $\Q(\zeta_{58})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $5$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 59 \)
Weight:	\( k \)	\(=\)	\( 1 \)
Character orbit:	\([\chi]\)	\(=\)	59.d (of order \(58\) and degree \(28\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 59 \)
Character field:			\(\Q(\zeta_{58})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(5\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(59, [\chi])\).

	Total	New	Old
Modular forms	28	28	0
Cusp forms	0	0	0
Eisenstein series	28	28	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