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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1659.1.d.a	$1659$	$1$	1659.d	1659.d	$2$	$1$	$1$	$0.828$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1659}) \)	\(\Q(\sqrt{553}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{3}+q^{4}+q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
1659.1.d.b	$1659$	$1$	1659.d	1659.d	$2$	$1$	$1$	$0.828$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1659}) \)	\(\Q(\sqrt{553}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+q^{3}+q^{4}-q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
3871.1.c.a	$3871$	$1$	3871.c	79.b	$2$	$1$	$1$	$1.932$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-79}) \)	\(\Q(\sqrt{553}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+2q^{2}+3q^{4}+4q^{8}+q^{9}-2q^{11}+\cdots\)
3871.1.m.a	$3871$	$1$	3871.m	553.m	$6$	$2$	$1$	$1.932$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-79}) \)	\(\Q(\sqrt{553}) \)		$8$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}q^{2}+3\zeta_{6}^{2}q^{4}-2q^{8}-\zeta_{6}q^{9}+\cdots\)