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Results (16 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	11	31
6138.2.a.a	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓	✓			6138.2.a.a	$1$	$2$	\(-1\)	\(0\)	\(-4\)	\(0\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-4q^{5}-q^{8}+4q^{10}+q^{11}+\cdots\)
6138.2.a.b	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.j	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots\)
6138.2.a.c	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.g	$1$	$1$	\(-1\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}+2q^{7}-q^{8}+2q^{10}+\cdots\)
6138.2.a.d	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓	✓			6138.2.a.d	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(4\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}+4q^{7}-q^{8}+2q^{10}+\cdots\)
6138.2.a.e	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				682.2.a.a	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{11}-4q^{13}+\cdots\)
6138.2.a.f	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				682.2.a.b	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(-3\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}-3q^{7}-q^{8}-2q^{10}+\cdots\)
6138.2.a.g	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.h	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}-2q^{7}-q^{8}-2q^{10}+\cdots\)
6138.2.a.h	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.f	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots\)
6138.2.a.i	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.i	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}+4q^{7}-q^{8}-2q^{10}+\cdots\)
6138.2.a.j	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.d	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
6138.2.a.k	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.c	$1$	$0$	\(1\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{7}+q^{8}-q^{11}-2q^{13}+\cdots\)
6138.2.a.l	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.e	$1$	$1$	\(1\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{5}-2q^{7}+q^{8}+2q^{10}+\cdots\)
6138.2.a.m	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.b	$1$	$0$	\(1\)	\(0\)	\(2\)	\(3\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{5}+3q^{7}+q^{8}+2q^{10}+\cdots\)
6138.2.a.n	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓	✓			6138.2.a.d	$1$	$0$	\(1\)	\(0\)	\(2\)	\(4\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{5}+4q^{7}+q^{8}+2q^{10}+\cdots\)
6138.2.a.o	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓				2046.2.a.a	$1$	$0$	\(1\)	\(0\)	\(4\)	\(-4\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{5}-4q^{7}+q^{8}+4q^{10}+\cdots\)
6138.2.a.p	$6138$	$2$	6138.a	1.a	$1$	$1$	$1$	$49.012$	\(\Q\)	None	✓	✓			6138.2.a.a	$1$	$0$	\(1\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{5}+q^{8}+4q^{10}-q^{11}+\cdots\)