Space of modular forms of level 3645, weight 1, and Character 3645.v

• Label: 3645.1.v
• Level: $3645$
• Weight: $1$
• Character orbit: 3645.v
• Rep. character: $\chi_{3645}(134,\cdot)$
• Character field: $\Q(\zeta_{54})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $486$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 3645 = 3^{6} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 1 \)
Character orbit:	\([\chi]\)	\(=\)	3645.v (of order \(54\) and degree \(18\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 405 \)
Character field:			\(\Q(\zeta_{54})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(486\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3645, [\chi])\).

	Total	New	Old
Modular forms	324	144	180
Cusp forms	0	0	0
Eisenstein series	324	144	180

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