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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
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.c.b	$1379$	$1$	1379.c	1379.c	$2$	$2$	$2$	$0.688$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-1379}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\beta q^{3}+q^{4}+\beta q^{5}+q^{7}+q^{9}-\beta q^{12}+\cdots\)
1379.1.c.c	$1379$	$1$	1379.c	1379.c	$2$	$4$	$4$	$0.688$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-1379}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)