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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
579.1.c.a	$579$	$1$	579.c	579.c	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-579}) \)	\(\Q(\sqrt{193}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)	$1$		\(q+q^{3}+q^{4}-2q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
772.1.b.a	$772$	$1$	772.b	772.b	$2$	$1$	$1$	$0.385$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-193}) \)	\(\Q(\sqrt{193}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
1351.1.c.a	$1351$	$1$	1351.c	1351.c	$2$	$1$	$1$	$0.674$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1351}) \)	\(\Q(\sqrt{193}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(1\)	$1$		\(q-2q^{2}+3q^{4}+q^{7}-4q^{8}+q^{9}-2q^{14}+\cdots\)
1544.1.h.a	$1544$	$1$	1544.h	1544.h	$2$	$1$	$1$	$0.771$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-386}) \)	\(\Q(\sqrt{193}) \)	✓	$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+3q^{9}+\cdots\)