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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
619.1.b.a	$619$	$1$	619.b	619.b	$2$	$2$	$2$	$0.309$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-619}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{4}+(-1+\beta )q^{5}-\beta q^{7}+q^{9}+q^{16}+\cdots\)
2476.1.c.a	$2476$	$1$	2476.c	619.b	$2$	$1$	$1$	$1.236$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-619}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$1$		\(q-q^{5}+2q^{7}+q^{9}-q^{23}+2q^{31}+\cdots\)
2476.1.c.b	$2476$	$1$	2476.c	619.b	$2$	$4$	$4$	$1.236$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-619}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)	$1$		\(q+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}+(-\beta _{2}-\beta _{3})q^{23}+\cdots\)
3095.1.d.b	$3095$	$1$	3095.d	3095.d	$2$	$1$	$1$	$1.545$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-619}) \), \(\Q(\sqrt{-3095}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+q^{5}-q^{9}+q^{16}-q^{20}+q^{25}+\cdots\)
3095.1.d.f	$3095$	$1$	3095.d	3095.d	$2$	$4$	$4$	$1.545$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-619}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-\zeta_{10}^{3}q^{5}+(\zeta_{10}+\zeta_{10}^{4})q^{7}+\cdots\)