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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	3	5	7
8820.2.a.bd	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓				2940.2.a.n	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-2+2\beta )q^{11}-2\beta q^{17}-\beta q^{19}+\cdots\)
8820.2.a.be	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{7}) \)	None	✓				420.2.q.c	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1+\beta )q^{11}-\beta q^{13}+(-1+\cdots)q^{17}+\cdots\)
8820.2.a.bf	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓		✓		420.2.q.d	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{11}+(1-\beta )q^{13}+\beta q^{17}+\cdots\)
8820.2.a.bg	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓				980.2.a.j	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1+2\beta )q^{11}+(-5+\beta )q^{13}+\cdots\)
8820.2.a.bh	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓				2940.2.a.o	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{11}+2\beta q^{13}+(-4+2\beta )q^{17}+\cdots\)
8820.2.a.bi	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓				2940.2.a.n	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-2+2\beta )q^{11}+2\beta q^{17}+\beta q^{19}+\cdots\)
8820.2.a.bj	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{7}) \)	None	✓		✓		420.2.q.c	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1+\beta )q^{11}+\beta q^{13}+(1-\beta )q^{17}+\cdots\)
8820.2.a.bk	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓				420.2.q.d	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{11}+(-1+\beta )q^{13}-\beta q^{17}+\cdots\)
8820.2.a.bl	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓				980.2.a.j	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+2\beta )q^{11}+(5-\beta )q^{13}+(-5+\cdots)q^{17}+\cdots\)
8820.2.a.bm	$8820$	$2$	8820.a	1.a	$1$	$2$	$2$	$70.428$	\(\Q(\sqrt{2}) \)	None	✓				2940.2.a.o	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{11}-2\beta q^{13}+(4-2\beta )q^{17}+\cdots\)