Newform search results

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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3135.1.o.a	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(-2\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}-q^{5}+\cdots\)
3135.1.o.b	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(2\)	\(1\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}+q^{5}+\cdots\)
3135.1.o.c	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(-2\)	\(1\)	$1$		\(q+(-1+\beta )q^{2}+q^{3}+(1-\beta )q^{4}-q^{5}+\cdots\)
3135.1.o.d	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(2\)	\(-1\)	$1$		\(q-\beta q^{2}+q^{3}+\beta q^{4}+q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
3135.1.o.e	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(-2\)	\(1\)	$1$		\(q+\beta q^{2}-q^{3}+\beta q^{4}-q^{5}-\beta q^{6}+(1+\cdots)q^{7}+\cdots\)
3135.1.o.f	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(2\)	\(-1\)	$1$		\(q+(1-\beta )q^{2}-q^{3}+(1-\beta )q^{4}+q^{5}+\cdots\)
3135.1.o.g	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(-2\)	\(-1\)	$1$		\(q+(1-\beta )q^{2}+q^{3}+(1-\beta )q^{4}-q^{5}+\cdots\)
3135.1.o.h	$3135$	$1$	3135.o	3135.o	$2$	$2$	$2$	$1.565$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3135}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(2\)	\(1\)	$1$		\(q+\beta q^{2}+q^{3}+\beta q^{4}+q^{5}+\beta q^{6}+(1+\cdots)q^{7}+\cdots\)