Space of modular forms of level 345, weight 1, and Character 345.v

• Label: 345.1.v
• Level: $345$
• Weight: $1$
• Character orbit: 345.v
• Rep. character: $\chi_{345}(13,\cdot)$
• Character field: $\Q(\zeta_{44})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $48$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 345 = 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 1 \)
Character orbit:	\([\chi]\)	\(=\)	345.v (of order \(44\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 115 \)
Character field:			\(\Q(\zeta_{44})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(48\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(345, [\chi])\).

	Total	New	Old
Modular forms	80	0	80
Cusp forms	0	0	0
Eisenstein series	80	0	80

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