Space of modular forms of level 15, weight 9, and trivial character

• Label: 15.9.a
• Level: $15$
• Weight: $9$
• Character orbit: 15.a
• Rep. character: $\chi_{15}(1,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $18$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 15 = 3 \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 9 \)
Character orbit:	\([\chi]\)	\(=\)	15.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(18\)
Trace bound:			\(0\)

Dimensions

There are no modular forms of weight 9 and character 15.a since the weight is odd while the character is even.