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Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2331.1.e.c	$2331$	$1$	2331.e	259.b	$2$	$1$	$1$	$1.163$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-259}) \)	\(\Q(\sqrt{777}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}-2q^{13}+q^{16}+2q^{19}+\cdots\)
2331.1.e.d	$2331$	$1$	2331.e	259.b	$2$	$1$	$1$	$1.163$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-259}) \)	\(\Q(\sqrt{777}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}+2q^{13}+q^{16}-2q^{19}+\cdots\)
2331.1.e.f	$2331$	$1$	2331.e	259.b	$2$	$2$	$2$	$1.163$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{777}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$2$		\(q-iq^{2}-3q^{4}+q^{7}+4iq^{8}-2iq^{14}+\cdots\)