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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1023.1.g.a	$1023$	$1$	1023.g	1023.g	$2$	$1$	$1$	$0.511$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1023}) \)	\(\Q(\sqrt{93}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}-q^{4}+q^{9}-q^{11}+q^{12}+q^{16}+\cdots\)
1023.1.g.b	$1023$	$1$	1023.g	1023.g	$2$	$1$	$1$	$0.511$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1023}) \)	\(\Q(\sqrt{93}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}-q^{4}+q^{9}+q^{11}-q^{12}+q^{16}+\cdots\)
1023.1.g.c	$1023$	$1$	1023.g	1023.g	$2$	$2$	$2$	$0.511$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-1023}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{6}+q^{9}+q^{11}+\cdots\)
1023.1.g.d	$1023$	$1$	1023.g	1023.g	$2$	$2$	$2$	$0.511$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-1023}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}+q^{3}+q^{4}-\beta q^{6}+q^{9}-q^{11}+\cdots\)