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Results (9 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	97
8730.2.a.p	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-2\)	\(-4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
8730.2.a.q	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-2\)	\(-4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
8730.2.a.r	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-\beta q^{7}-q^{8}+q^{10}+\cdots\)
8730.2.a.s	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-2\beta q^{7}-q^{8}-q^{10}+\cdots\)
8730.2.a.t	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(-1-\beta )q^{7}-q^{8}+\cdots\)
8730.2.a.u	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+(-1-\beta )q^{7}+q^{8}+\cdots\)
8730.2.a.v	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+(2-2\beta )q^{11}+\cdots\)
8730.2.a.w	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(-1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-\beta q^{7}+q^{8}+q^{10}+\cdots\)
8730.2.a.x	$8730$	$2$	8730.a	1.a	$1$	$2$	$2$	$69.709$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(2\)	\(-1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-\beta q^{7}+q^{8}+q^{10}+\cdots\)