Space of modular forms of level 880, weight 2, and Character 880.cl

• Label: 880.2.cl
• Level: $880$
• Weight: $2$
• Character orbit: 880.cl
• Rep. character: $\chi_{880}(69,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $1120$
• Newform subspaces: $1$
• Sturm bound: $288$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 880 = 2^{4} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	880.cl (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 880 \)
Character field:			\(\Q(\zeta_{20})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(288\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(880, [\chi])\).

	Total	New	Old
Modular forms	1184	1184	0
Cusp forms	1120	1120	0
Eisenstein series	64	64	0

Trace form

\( 1120 q - 12 q^{4} - 6 q^{5} - 12 q^{6} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(880, [\chi])\) into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
880.2.cl.a	$880$	$2$	880.cl	880.bl	$20$	$1120$	$140$	$7.027$		None		✓	✓	✓	880.2.cl.a	$8$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$\mathrm{SU}(2)[C_{20}]$