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Results (5 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13	619
8047.2.a.a	$8047$	$2$	8047.a	1.a	$1$	$2$	$2$	$64.256$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(-3\)	\(2\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1-\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
8047.2.a.b	$8047$	$2$	8047.a	1.a	$1$	$142$	$142$	$64.256$		None	✓	$1$	$1$	\(-13\)	\(-26\)	\(-37\)	\(-14\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
8047.2.a.c	$8047$	$2$	8047.a	1.a	$1$	$151$	$151$	$64.256$		None	✓	$1$	$1$	\(-13\)	\(-16\)	\(-43\)	\(-18\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
8047.2.a.d	$8047$	$2$	8047.a	1.a	$1$	$156$	$156$	$64.256$		None	✓	$1$	$0$	\(13\)	\(23\)	\(39\)	\(19\)		$+$	$-$	$-$		$\mathrm{SU}(2)$
8047.2.a.e	$8047$	$2$	8047.a	1.a	$1$	$168$	$168$	$64.256$		None	✓	$1$	$0$	\(11\)	\(26\)	\(41\)	\(12\)		$-$	$+$	$-$		$\mathrm{SU}(2)$