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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
615.1.h.a	$615$	$1$	615.h	615.h	$2$	$2$	$2$	$0.307$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-615}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(2\)	\(1\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}+q^{5}+\cdots\)
615.1.h.b	$615$	$1$	615.h	615.h	$2$	$2$	$2$	$0.307$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-615}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(2\)	\(-1\)	$1$		\(q-\beta q^{2}+q^{3}+\beta q^{4}+q^{5}-\beta q^{6}-\beta q^{7}+\cdots\)
615.1.h.c	$615$	$1$	615.h	615.h	$2$	$2$	$2$	$0.307$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-615}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(-2\)	\(1\)	$1$		\(q+\beta q^{2}-q^{3}+\beta q^{4}-q^{5}-\beta q^{6}+\beta q^{7}+\cdots\)
615.1.h.d	$615$	$1$	615.h	615.h	$2$	$2$	$2$	$0.307$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-615}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(-2\)	\(-1\)	$1$		\(q+(1-\beta )q^{2}+q^{3}+(1-\beta )q^{4}-q^{5}+\cdots\)
3075.1.c.e	$3075$	$1$	3075.c	123.b	$2$	$4$	$4$	$1.535$	\(\Q(i, \sqrt{5})\)	$D_{5}$	\(\Q(\sqrt{-615}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+\beta _{3}q^{3}+\beta _{2}q^{4}+\beta _{2}q^{6}+\cdots\)
3075.1.c.f	$3075$	$1$	3075.c	123.b	$2$	$4$	$4$	$1.535$	\(\Q(i, \sqrt{5})\)	$D_{5}$	\(\Q(\sqrt{-615}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\beta _{1}-\beta _{3})q^{2}+\beta _{3}q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots\)