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Results (9 matches)

 

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					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	17
6171.2.a.a	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	✓			6171.2.a.a	$1$	$1$	\(-2\)	\(1\)	\(2\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}+2q^{5}-2q^{6}+\cdots\)
6171.2.a.b	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	✓			6171.2.a.b	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{6}+2q^{7}+3q^{8}+\cdots\)
6171.2.a.c	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓				561.2.a.c	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}+2q^{12}+\cdots\)
6171.2.a.d	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓				561.2.a.d	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-2q^{5}-q^{7}+q^{9}-2q^{12}+\cdots\)
6171.2.a.e	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓				51.2.a.a	$1$	$0$	\(0\)	\(1\)	\(3\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+3q^{5}+4q^{7}+q^{9}-2q^{12}+\cdots\)
6171.2.a.f	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	✓			6171.2.a.b	$1$	$0$	\(1\)	\(1\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{6}-2q^{7}-3q^{8}+\cdots\)
6171.2.a.g	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓				561.2.a.b	$1$	$1$	\(1\)	\(1\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots\)
6171.2.a.h	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓				561.2.a.a	$1$	$0$	\(2\)	\(1\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+3q^{7}+\cdots\)
6171.2.a.i	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	✓			6171.2.a.a	$1$	$0$	\(2\)	\(1\)	\(2\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}+2q^{5}+2q^{6}+\cdots\)