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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1379.1.c.a	$1379$	$1$	1379.c	1379.c	$2$	$1$	$1$	$0.688$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1379}) \)	\(\Q(\sqrt{197}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}-q^{9}+q^{16}+2q^{23}-q^{25}+\cdots\)
1379.1.i.a	$1379$	$1$	1379.i	1379.i	$6$	$2$	$1$	$0.688$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{197}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{6}q^{4}+q^{7}-\zeta_{6}^{2}q^{9}+\zeta_{6}^{2}q^{16}+\cdots\)
3152.1.f.a	$3152$	$1$	3152.f	788.d	$2$	$1$	$1$	$1.573$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-197}) \)	\(\Q(\sqrt{197}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}+q^{25}+2q^{29}+2q^{37}+2q^{41}+\cdots\)
3152.1.f.b	$3152$	$1$	3152.f	788.d	$2$	$2$	$2$	$1.573$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{197}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{7}-q^{9}+(\zeta_{6}+\zeta_{6}^{2})q^{19}+\cdots\)
3743.1.d.a	$3743$	$1$	3743.d	3743.d	$2$	$1$	$1$	$1.868$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3743}) \)	\(\Q(\sqrt{197}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{4}-2q^{7}-q^{9}+q^{16}+q^{19}-2q^{23}+\cdots\)