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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
711.1.d.a	$711$	$1$	711.d	79.b	$2$	$1$	$1$	$0.355$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-79}) \)	\(\Q(\sqrt{237}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+2q^{13}+q^{16}+2q^{19}-q^{25}+\cdots\)
3081.1.p.a	$3081$	$1$	3081.p	3081.p	$4$	$2$	$1$	$1.538$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{237}) \)		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+iq^{4}+q^{9}-iq^{12}-q^{13}+\cdots\)
3081.1.p.d	$3081$	$1$	3081.p	3081.p	$4$	$2$	$1$	$1.538$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{237}) \)		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}+iq^{4}+q^{9}+iq^{12}-q^{13}+\cdots\)