Space of modular forms of level 143, weight 2, and Character 143.o

• Label: 143.2.o
• Level: $143$
• Weight: $2$
• Character orbit: 143.o
• Rep. character: $\chi_{143}(32,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $48$
• Newform subspaces: $1$
• Sturm bound: $28$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 143 = 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	143.o (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 143 \)
Character field:			\(\Q(\zeta_{12})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(28\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(143, [\chi])\).

	Total	New	Old
Modular forms	64	64	0
Cusp forms	48	48	0
Eisenstein series	16	16	0

Trace form

48 * q - 4 * q^3 - 12 * q^4 - 8 * q^5 - 20 * q^9 + 8 * q^11 - 16 * q^14 + 12 * q^15 - 8 * q^16 - 52 * q^20 + 12 * q^22 - 36 * q^26 - 16 * q^27 + 4 * q^31 + 48 * q^33 - 12 * q^34 + 120 * q^36 - 20 * q^37 - 12 * q^42 + 8 * q^44 + 8 * q^45 + 40 * q^47 - 48 * q^48 - 12 * q^49 + 24 * q^53 + 12 * q^55 - 132 * q^56 + 28 * q^58 - 40 * q^59 + 20 * q^60 - 32 * q^66 - 60 * q^67 - 12 * q^69 + 92 * q^70 - 96 * q^75 + 12 * q^78 + 148 * q^80 + 16 * q^81 + 156 * q^82 - 76 * q^86 - 48 * q^88 + 68 * q^89 - 84 * q^91 + 24 * q^92 + 24 * q^93 + 4 * q^97 + 16 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(143, [\chi])\) 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
143.2.o.a	$143$	$2$	143.o	143.o	$12$	$48$	$12$	$1.142$		None		✓	✓	✓	143.2.o.a	$4$	$0$	\(0\)	\(-4\)	\(-8\)	\(0\)		$\mathrm{SU}(2)[C_{12}]$