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Results (5 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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
18.12.a.a	$18$	$12$	18.a	1.a	$1$	$1$	$1$	$13.830$	\(\Q\)	None	✓	$1$	$1$	\(-32\)	\(0\)	\(-3630\)	\(32936\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{5}q^{2}+2^{10}q^{4}-3630q^{5}+32936q^{7}+\cdots\)
18.12.a.b	$18$	$12$	18.a	1.a	$1$	$1$	$1$	$13.830$	\(\Q\)	None	✓	$1$	$0$	\(-32\)	\(0\)	\(5280\)	\(-49036\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{5}q^{2}+2^{10}q^{4}+5280q^{5}-49036q^{7}+\cdots\)
18.12.a.c	$18$	$12$	18.a	1.a	$1$	$1$	$1$	$13.830$	\(\Q\)	None	✓	$1$	$0$	\(32\)	\(0\)	\(-5766\)	\(72464\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{5}q^{2}+2^{10}q^{4}-5766q^{5}+72464q^{7}+\cdots\)
18.12.a.d	$18$	$12$	18.a	1.a	$1$	$1$	$1$	$13.830$	\(\Q\)	None	✓	$1$	$1$	\(32\)	\(0\)	\(-5280\)	\(-49036\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{5}q^{2}+2^{10}q^{4}-5280q^{5}-49036q^{7}+\cdots\)
18.12.a.e	$18$	$12$	18.a	1.a	$1$	$1$	$1$	$13.830$	\(\Q\)	None	✓	$1$	$0$	\(32\)	\(0\)	\(11730\)	\(-50008\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{5}q^{2}+2^{10}q^{4}+11730q^{5}-50008q^{7}+\cdots\)