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Results (3 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		4027
4027.2.a.a	$4027$	$2$	4027.a	1.a	$1$	$2$	$2$	$32.156$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-7\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
4027.2.a.b	$4027$	$2$	4027.a	1.a	$1$	$159$	$159$	$32.156$		None	✓	$1$	$1$	\(-22\)	\(-19\)	\(-70\)	\(-19\)		$+$	$+$		$\mathrm{SU}(2)$
4027.2.a.c	$4027$	$2$	4027.a	1.a	$1$	$174$	$174$	$32.156$		None	✓	$1$	$0$	\(21\)	\(17\)	\(72\)	\(24\)		$-$	$-$		$\mathrm{SU}(2)$