Space of modular forms of level 27, weight 2, and Character 27.c

• Label: 27.2.c
• Level: $27$
• Weight: $2$
• Character orbit: 27.c
• Rep. character: $\chi_{27}(10,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $6$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 27 = 3^{3} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	27.c (of order \(3\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 9 \)
Character field:			\(\Q(\zeta_{3})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(6\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(27, [\chi])\).

	Total	New	Old
Modular forms	12	4	8
Cusp forms	0	0	0
Eisenstein series	12	4	8