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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
859.1.b.a	$859$	$1$	859.b	859.b	$2$	$3$	$3$	$0.429$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-859}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{4}-\beta _{1}q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
3436.1.c.a	$3436$	$1$	3436.c	859.b	$2$	$1$	$1$	$1.715$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-859}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$1$		\(q-q^{5}+2q^{7}+q^{9}+2q^{13}-q^{17}+\cdots\)
3436.1.c.c	$3436$	$1$	3436.c	859.b	$2$	$6$	$6$	$1.715$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-859}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)	$1$		\(q+\beta _{4}q^{5}-\beta _{5}q^{7}+q^{9}+(-1-\beta _{3}+\cdots)q^{13}+\cdots\)