Space of modular forms of level 36, weight 2, and Character 36.c

• Label: 36.2.c
• Level: $36$
• Weight: $2$
• Character orbit: 36.c
• Rep. character: $\chi_{36}(17,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $12$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 36 = 2^{2} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	36.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3 \)
Character field:			\(\Q\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(12\)
Trace bound:			\(0\)

Dimensions

There are no modular forms of weight 2 and character 36.c since the weight is even while the character is odd.