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Results (10 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	53
5936.2.a.s	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{5}) \)	None	✓				2968.2.a.i	$1$	$1$	\(0\)	\(-3\)	\(3\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(1+\beta )q^{5}-q^{7}+(-1+\cdots)q^{9}+\cdots\)
5936.2.a.t	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{13}) \)	None	✓				1484.2.a.f	$1$	$1$	\(0\)	\(-3\)	\(5\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(3-\beta )q^{5}-q^{7}+(1+\cdots)q^{9}+\cdots\)
5936.2.a.u	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{3}) \)	None	✓				2968.2.a.g	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-1-\beta )q^{5}+q^{7}+(1+\beta )q^{11}+\cdots\)
5936.2.a.v	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{2}) \)	None	✓				2968.2.a.h	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{5}-q^{7}-q^{9}+(2+2\beta )q^{11}+\cdots\)
5936.2.a.w	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{2}) \)	None	✓				742.2.a.j	$1$	$1$	\(0\)	\(0\)	\(4\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{5}+q^{7}-q^{9}-2q^{11}+\cdots\)
5936.2.a.x	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{5}) \)	None	✓				371.2.a.c	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)
5936.2.a.y	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{13}) \)	None	✓				1484.2.a.e	$1$	$0$	\(0\)	\(1\)	\(1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{7}+\beta q^{9}+3q^{11}+\cdots\)
5936.2.a.z	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{2}) \)	None	✓				742.2.a.i	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-\beta q^{5}-q^{7}+2\beta q^{9}+(4+\cdots)q^{11}+\cdots\)
5936.2.a.ba	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{2}) \)	None	✓				1484.2.a.d	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-2\beta q^{5}+q^{7}+2\beta q^{9}+\cdots\)
5936.2.a.bb	$5936$	$2$	5936.a	1.a	$1$	$2$	$2$	$47.399$	\(\Q(\sqrt{2}) \)	None	✓				742.2.a.h	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+\beta q^{5}+q^{7}+2\beta q^{9}+\beta q^{11}+\cdots\)