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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2415.1.p.a	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(-2\)	\(2\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}-q^{5}+\cdots\)
2415.1.p.b	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(2\)	\(-2\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}+q^{5}+\cdots\)
2415.1.p.c	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(-2\)	\(-2\)	$1$		\(q+(-1+\beta )q^{2}+q^{3}+(1-\beta )q^{4}-q^{5}+\cdots\)
2415.1.p.d	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(2\)	\(2\)	$1$		\(q-\beta q^{2}+q^{3}+\beta q^{4}+q^{5}-\beta q^{6}+q^{7}+\cdots\)
2415.1.p.e	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(-2\)	\(-2\)	$1$		\(q+\beta q^{2}-q^{3}+\beta q^{4}-q^{5}-\beta q^{6}-q^{7}+\cdots\)
2415.1.p.f	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(2\)	\(2\)	$1$		\(q+(1-\beta )q^{2}-q^{3}+(1-\beta )q^{4}+q^{5}+\cdots\)
2415.1.p.g	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(-2\)	\(2\)	$1$		\(q+(1-\beta )q^{2}+q^{3}+(1-\beta )q^{4}-q^{5}+\cdots\)
2415.1.p.h	$2415$	$1$	2415.p	2415.p	$2$	$2$	$2$	$1.205$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2415}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(2\)	\(-2\)	$1$		\(q+\beta q^{2}+q^{3}+\beta q^{4}+q^{5}+\beta q^{6}-q^{7}+\cdots\)