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

• Label: 143.2.q
• Level: $143$
• Weight: $2$
• Character orbit: 143.q
• Rep. character: $\chi_{143}(3,\cdot)$
• Character field: $\Q(\zeta_{15})$
• Dimension: $96$
• Newform subspaces: $1$
• Sturm bound: $28$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 143 = 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	143.q (of order \(15\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 143 \)
Character field:			\(\Q(\zeta_{15})\)
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	128	128	0
Cusp forms	96	96	0
Eisenstein series	32	32	0

Trace form

\( 96 q - 3 q^{2} - 3 q^{3} + 7 q^{4} - 12 q^{5} - 11 q^{6} - 3 q^{7} - 20 q^{8} - q^{9} + O(q^{10}) \)

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	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
143.2.q.a	$143$	$2$	143.q	143.q	$15$	$96$	$12$	$1.142$		None		$4$	$0$	\(-3\)	\(-3\)	\(-12\)	\(-3\)		$\mathrm{SU}(2)[C_{15}]$