Newform search results

Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1371.1.c.a	$1371$	$1$	1371.c	1371.c	$2$	$1$	$1$	$0.684$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1371}) \)	\(\Q(\sqrt{457}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-q^{3}+q^{4}+2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
1371.1.c.b	$1371$	$1$	1371.c	1371.c	$2$	$1$	$1$	$0.684$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1371}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q+q^{3}+q^{4}-q^{5}-q^{7}+q^{9}+2q^{11}+\cdots\)
1371.1.c.c	$1371$	$1$	1371.c	1371.c	$2$	$1$	$1$	$0.684$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1371}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(-1\)	$1$		\(q+q^{3}+q^{4}+q^{5}-q^{7}+q^{9}-2q^{11}+\cdots\)
1371.1.c.d	$1371$	$1$	1371.c	1371.c	$2$	$2$	$2$	$0.684$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1371}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q-q^{3}+q^{4}-\beta q^{5}-q^{7}+q^{9}-q^{12}+\cdots\)