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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
723.1.b.a	$723$	$1$	723.b	723.b	$2$	$1$	$1$	$0.361$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-723}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}+q^{25}+\cdots\)
964.1.c.a	$964$	$1$	964.c	964.c	$2$	$1$	$1$	$0.481$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-241}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}+q^{9}+2q^{10}+\cdots\)
1928.1.g.a	$1928$	$1$	1928.g	1928.g	$2$	$1$	$1$	$0.962$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-482}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+3q^{9}+\cdots\)
3615.1.h.a	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3615}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(-2\)	\(1\)	\(1\)	\(0\)	$1$		\(q-2q^{2}+q^{3}+3q^{4}+q^{5}-2q^{6}-4q^{8}+\cdots\)
3615.1.h.f	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3615}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-q^{5}-2q^{6}+4q^{8}+\cdots\)