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Results (4 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.bj	$6171$	$2$	6171.a	1.a	$1$	$12$	$12$	$49.276$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			6171.2.a.bj	$1$	$1$	\(-6\)	\(12\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6171.2.a.bk	$6171$	$2$	6171.a	1.a	$1$	$12$	$12$	$49.276$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓				561.2.m.d	$1$	$1$	\(-1\)	\(12\)	\(-14\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
6171.2.a.bl	$6171$	$2$	6171.a	1.a	$1$	$12$	$12$	$49.276$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		✓		561.2.m.d	$1$	$1$	\(1\)	\(12\)	\(-14\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
6171.2.a.bm	$6171$	$2$	6171.a	1.a	$1$	$12$	$12$	$49.276$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			6171.2.a.bj	$1$	$0$	\(6\)	\(12\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)