Space of modular forms of level 77, weight 1, and Character 77.o

• Label: 77.1.o
• Level: $77$
• Weight: $1$
• Character orbit: 77.o
• Rep. character: $\chi_{77}(2,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $8$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 77 = 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 1 \)
Character orbit:	\([\chi]\)	\(=\)	77.o (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 77 \)
Character field:			\(\Q(\zeta_{30})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(8\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(77, [\chi])\).

	Total	New	Old
Modular forms	16	16	0
Cusp forms	0	0	0
Eisenstein series	16	16	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