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Results (11 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.be	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.148.1	None	✓	✓	✓		6840.2.a.be	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-2\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-2\beta _{1}-\beta _{2})q^{7}+(1-\beta _{1})q^{11}+\cdots\)
6840.2.a.bf	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.316.1	None	✓		✓		2280.2.a.s	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1+\beta _{1})q^{7}+(1+\beta _{2})q^{11}+\cdots\)
6840.2.a.bg	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.229.1	None	✓		✓		760.2.a.j	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta _{1}q^{7}+(2+\beta _{2})q^{13}+(-2+\cdots)q^{17}+\cdots\)
6840.2.a.bh	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.1772.1	None	✓		✓		2280.2.a.u	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta _{2}q^{7}+(-2-\beta _{2})q^{11}+(1+\cdots)q^{13}+\cdots\)
6840.2.a.bi	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.2804.1	None	✓	✓	✓		6840.2.a.bi	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1-\beta _{1})q^{7}+(-2-\beta _{2})q^{11}+\cdots\)
6840.2.a.bj	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.568.1	None	✓				760.2.a.h	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-5\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-2-\beta _{2})q^{7}+(2-2\beta _{1})q^{11}+\cdots\)
6840.2.a.bk	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.568.1	None	✓		✓		2280.2.a.r	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-2\)		$-$	$-$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1-\beta _{2})q^{7}+(-1+\beta _{2})q^{11}+\cdots\)
6840.2.a.bl	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.148.1	None	✓	✓	✓		6840.2.a.be	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-2\beta _{1}-\beta _{2})q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
6840.2.a.bm	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.316.1	None	✓		✓		760.2.a.i	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1+2\beta _{1}-\beta _{2})q^{7}-2\beta _{2}q^{11}+\cdots\)
6840.2.a.bn	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.1016.1	None	✓				2280.2.a.t	$1$	$0$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta _{2}q^{7}+(-1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
6840.2.a.bo	$6840$	$2$	6840.a	1.a	$1$	$3$	$3$	$54.618$	3.3.2804.1	None	✓	✓	✓		6840.2.a.bi	$1$	$0$	\(0\)	\(0\)	\(3\)	\(2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1-\beta _{1})q^{7}+(2+\beta _{2})q^{11}+(3+\cdots)q^{13}+\cdots\)