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Results (27 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
717.2.a.a	$717$	$2$	717.a	1.a	$1$	$2$	$2$	$5.725$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(-2\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
717.2.a.b	$717$	$2$	717.a	1.a	$1$	$2$	$2$	$5.725$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(2\)	\(6\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+3q^{5}+\cdots\)
717.2.a.c	$717$	$2$	717.a	1.a	$1$	$2$	$2$	$5.725$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(2\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+q^{3}+3\beta q^{4}+(1-2\beta )q^{5}+\cdots\)
717.2.a.d	$717$	$2$	717.a	1.a	$1$	$6$	$6$	$5.725$	6.6.1767625.1	None	✓	$1$	$1$	\(-2\)	\(-6\)	\(5\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{5}q^{2}-q^{3}+(1+\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
717.2.a.e	$717$	$2$	717.a	1.a	$1$	$7$	$7$	$5.725$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(7\)	\(3\)	\(3\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+q^{3}+(1+\beta _{6})q^{4}+\beta _{6}q^{5}+\cdots\)
717.2.a.f	$717$	$2$	717.a	1.a	$1$	$8$	$8$	$5.725$	8.8.2585660609.1	None	✓	$1$	$1$	\(-5\)	\(8\)	\(-13\)	\(-7\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+q^{3}+(1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
717.2.a.g	$717$	$2$	717.a	1.a	$1$	$12$	$12$	$5.725$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-12\)	\(-1\)	\(11\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{9}q^{5}+\cdots\)
717.2.b.a	$717$	$2$	717.b	717.b	$2$	$30$	$30$	$5.725$		\(\Q(\sqrt{-239}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{U}(1)[D_{2}]$
717.2.b.b	$717$	$2$	717.b	717.b	$2$	$48$	$48$	$5.725$		None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
717.2.e.a	$717$	$2$	717.e	239.c	$7$	$120$	$20$	$5.725$		None		$2$	$0$	\(5\)	\(-20\)	\(-2\)	\(1\)			$\mathrm{SU}(2)[C_{7}]$
717.2.e.b	$717$	$2$	717.e	239.c	$7$	$120$	$20$	$5.725$		None		$2$	$0$	\(5\)	\(20\)	\(-2\)	\(5\)			$\mathrm{SU}(2)[C_{7}]$
717.2.h.a	$717$	$2$	717.h	717.h	$14$	$468$	$78$	$5.725$		None		$4$	$0$	\(0\)	\(-5\)	\(0\)	\(-14\)			$\mathrm{SU}(2)[C_{14}]$
717.2.i.a	$717$	$2$	717.i	239.e	$17$	$320$	$20$	$5.725$		None		$2$	$0$	\(-2\)	\(-20\)	\(-2\)	\(-6\)			$\mathrm{SU}(2)[C_{17}]$
717.2.i.b	$717$	$2$	717.i	239.e	$17$	$320$	$20$	$5.725$		None		$2$	$0$	\(-2\)	\(20\)	\(-2\)	\(-2\)			$\mathrm{SU}(2)[C_{17}]$
717.2.l.a	$717$	$2$	717.l	717.l	$34$	$1248$	$78$	$5.725$		None		$4$	$0$	\(0\)	\(-15\)	\(0\)	\(-34\)			$\mathrm{SU}(2)[C_{34}]$
717.2.m.a	$717$	$2$	717.m	239.g	$119$	$1920$	$20$	$5.725$		None		$2$	$0$	\(-5\)	\(-20\)	\(2\)	\(-5\)			$\mathrm{SU}(2)[C_{119}]$
717.2.m.b	$717$	$2$	717.m	239.g	$119$	$1920$	$20$	$5.725$		None		$2$	$0$	\(-5\)	\(20\)	\(2\)	\(-1\)			$\mathrm{SU}(2)[C_{119}]$
717.2.n.a	$717$	$2$	717.n	717.n	$238$	$7488$	$78$	$5.725$		None		$4$	$0$	\(0\)	\(-97\)	\(0\)	\(-190\)			$\mathrm{SU}(2)[C_{238}]$
717.3.d.a	$717$	$3$	717.d	239.b	$2$	$80$	$80$	$19.537$		None		$2$	$0$	\(-4\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
717.4.a.a	$717$	$4$	717.a	1.a	$1$	$28$	$28$	$42.304$		None	✓	$1$	$1$	\(-13\)	\(84\)	\(-74\)	\(-82\)	$-$		$\mathrm{SU}(2)$
717.4.a.b	$717$	$4$	717.a	1.a	$1$	$28$	$28$	$42.304$		None	✓	$1$	$1$	\(-5\)	\(-84\)	\(6\)	\(-68\)	$-$		$\mathrm{SU}(2)$
717.4.a.c	$717$	$4$	717.a	1.a	$1$	$32$	$32$	$42.304$		None	✓	$1$	$0$	\(3\)	\(-96\)	\(-14\)	\(72\)	$+$		$\mathrm{SU}(2)$
717.4.a.d	$717$	$4$	717.a	1.a	$1$	$32$	$32$	$42.304$		None	✓	$1$	$0$	\(11\)	\(96\)	\(66\)	\(58\)	$+$		$\mathrm{SU}(2)$
717.6.a.a	$717$	$6$	717.a	1.a	$1$	$47$	$47$	$114.995$		None	✓	$1$	$1$	\(-19\)	\(423\)	\(-345\)	\(-411\)	$+$		$\mathrm{SU}(2)$
717.6.a.b	$717$	$6$	717.a	1.a	$1$	$48$	$48$	$114.995$		None	✓	$1$	$1$	\(-9\)	\(-432\)	\(61\)	\(-549\)	$+$		$\mathrm{SU}(2)$
717.6.a.c	$717$	$6$	717.a	1.a	$1$	$51$	$51$	$114.995$		None	✓	$1$	$0$	\(29\)	\(459\)	\(355\)	\(569\)	$-$		$\mathrm{SU}(2)$
717.6.a.d	$717$	$6$	717.a	1.a	$1$	$52$	$52$	$114.995$		None	✓	$1$	$0$	\(7\)	\(-468\)	\(-39\)	\(431\)	$-$		$\mathrm{SU}(2)$