Space of modular forms of level 19, weight 2, and Character 19.c

• Label: 19.2.c
• Level: $19$
• Weight: $2$
• Character orbit: 19.c
• Rep. character: $\chi_{19}(7,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $3$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	19.c (of order \(3\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 19 \)
Character field:			\(\Q(\zeta_{3})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(3\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(19, [\chi])\).

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