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Results (9 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	19
6840.2.a.v	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{3}) \)	None	✓				2280.2.a.q	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-6\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-3+\beta )q^{7}+(1+3\beta )q^{11}+\cdots\)
6840.2.a.w	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{7}) \)	None	✓		✓		2280.2.a.n	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1+\beta )q^{7}+(3-\beta )q^{11}+(1+\cdots)q^{13}+\cdots\)
6840.2.a.x	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{2}) \)	None	✓				2280.2.a.o	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-4\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-2+\beta )q^{7}-\beta q^{11}-3\beta q^{13}+\cdots\)
6840.2.a.y	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{3}) \)	None	✓				760.2.a.g	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{11}+(1+\beta )q^{13}+(-4+2\beta )q^{17}+\cdots\)
6840.2.a.z	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{2}) \)	None	✓				760.2.a.f	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2\beta q^{7}+(-2-2\beta )q^{11}+(2+\cdots)q^{13}+\cdots\)
6840.2.a.ba	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{2}) \)	None	✓				2280.2.a.l	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}+\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
6840.2.a.bb	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{2}) \)	None	✓				2280.2.a.k	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}+(2-\beta )q^{11}+(2-\beta )q^{13}+\cdots\)
6840.2.a.bc	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{5}) \)	None	✓				2280.2.a.m	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(1+\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
6840.2.a.bd	$6840$	$2$	6840.a	1.a	$1$	$2$	$2$	$54.618$	\(\Q(\sqrt{5}) \)	None	✓				2280.2.a.p	$1$	$0$	\(0\)	\(0\)	\(2\)	\(6\)		$+$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+(3+\beta )q^{7}+(-1+\beta )q^{11}+(3+\cdots)q^{13}+\cdots\)