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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
644.1.h.a	$644$	$1$	644.h	644.h	$2$	$1$	$1$	$0.321$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-161}) \)	\(\Q(\sqrt{23}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}-q^{9}+2q^{11}+\cdots\)
644.1.h.b	$644$	$1$	644.h	644.h	$2$	$1$	$1$	$0.321$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-161}) \)	\(\Q(\sqrt{23}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{9}-2q^{11}+\cdots\)
644.1.h.c	$644$	$1$	644.h	644.h	$2$	$2$	$2$	$0.321$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-161}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}-q^{7}+\cdots\)
644.1.h.d	$644$	$1$	644.h	644.h	$2$	$2$	$2$	$0.321$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-161}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)	$1$		\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}+q^{7}+\cdots\)
2576.1.p.a	$2576$	$1$	2576.p	644.h	$2$	$4$	$4$	$1.286$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-161}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+\beta _{3}q^{3}-\beta _{1}q^{5}-q^{7}+(1-\beta _{2})q^{9}+\cdots\)
2576.1.p.b	$2576$	$1$	2576.p	644.h	$2$	$4$	$4$	$1.286$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-161}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$1$		\(q-\beta _{3}q^{3}-\beta _{1}q^{5}+q^{7}+(1-\beta _{2})q^{9}+\cdots\)
3220.1.h.e	$3220$	$1$	3220.h	3220.h	$2$	$8$	$8$	$1.607$	\(\Q(\zeta_{16})\)	$D_{8}$	\(\Q(\sqrt{-161}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{16}^{4}q^{2}+(-\zeta_{16}^{3}-\zeta_{16}^{5})q^{3}+\cdots\)
3220.1.h.f	$3220$	$1$	3220.h	3220.h	$2$	$8$	$8$	$1.607$	\(\Q(\zeta_{16})\)	$D_{8}$	\(\Q(\sqrt{-161}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{16}^{4}q^{2}+(-\zeta_{16}-\zeta_{16}^{7})q^{3}-q^{4}+\cdots\)