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Results (14 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
668.2.a.a	$668$	$2$	668.a	1.a	$1$	$2$	$2$	$5.334$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-6\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-3q^{5}+(1+\beta )q^{7}+\beta q^{9}+(4+\cdots)q^{13}+\cdots\)
668.2.a.b	$668$	$2$	668.a	1.a	$1$	$5$	$5$	$5.334$	5.5.826865.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(10\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{3}+2q^{5}+(2-\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots\)
668.2.a.c	$668$	$2$	668.a	1.a	$1$	$7$	$7$	$5.334$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-2\)	\(-12\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{3}+(\beta _{1}-\beta _{2}+\beta _{3})q^{5}+\cdots\)
668.2.b.a	$668$	$2$	668.b	668.b	$2$	$22$	$22$	$5.334$		\(\Q(\sqrt{-167}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{U}(1)[D_{2}]$
668.2.b.b	$668$	$2$	668.b	668.b	$2$	$60$	$60$	$5.334$		None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
668.2.e.a	$668$	$2$	668.e	167.c	$83$	$1148$	$14$	$5.334$		None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{83}]$
668.2.h.a	$668$	$2$	668.h	668.h	$166$	$6724$	$82$	$5.334$		None		$4$	$0$	\(-81\)	\(0\)	\(-166\)	\(0\)			$\mathrm{SU}(2)[C_{166}]$
668.3.d.a	$668$	$3$	668.d	167.b	$2$	$28$	$28$	$18.202$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
668.4.a.a	$668$	$4$	668.a	1.a	$1$	$21$	$21$	$39.413$		None	✓	$1$	$1$	\(0\)	\(-12\)	\(-20\)	\(-84\)	$-$		$\mathrm{SU}(2)$
668.4.a.b	$668$	$4$	668.a	1.a	$1$	$21$	$21$	$39.413$		None	✓	$1$	$0$	\(0\)	\(12\)	\(10\)	\(84\)	$+$		$\mathrm{SU}(2)$
668.5.d.a	$668$	$5$	668.d	167.b	$2$	$56$	$56$	$69.051$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
668.6.a.a	$668$	$6$	668.a	1.a	$1$	$34$	$34$	$107.136$		None	✓	$1$	$1$	\(0\)	\(-24\)	\(-104\)	\(-500\)	$+$		$\mathrm{SU}(2)$
668.6.a.b	$668$	$6$	668.a	1.a	$1$	$34$	$34$	$107.136$		None	✓	$1$	$0$	\(0\)	\(48\)	\(46\)	\(676\)	$-$		$\mathrm{SU}(2)$
668.7.d.a	$668$	$7$	668.d	167.b	$2$	$84$	$84$	$153.676$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$