Space of modular forms of level 21, weight 9, and trivial character

• Label: 21.9.a
• Level: $21$
• Weight: $9$
• Character orbit: 21.a
• Rep. character: $\chi_{21}(1,\cdot)$
• Character field: $\Q$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $24$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 21 = 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 9 \)
Character orbit:	\([\chi]\)	\(=\)	21.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(24\)
Trace bound:			\(0\)

Dimensions

There are no modular forms of weight 9 and character 21.a since the weight is odd while the character is even.