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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
511.1.c.a	$511$	$1$	511.c	511.c	$2$	$3$	$3$	$0.255$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-511}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(3\)	$1$		\(q+(-1+\beta _{1}-\beta _{2})q^{2}+(1-\beta _{1})q^{4}+\cdots\)
511.1.c.b	$511$	$1$	511.c	511.c	$2$	$3$	$3$	$0.255$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-511}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(-3\)	$1$		\(q+(-1+\beta _{1}-\beta _{2})q^{2}+(1-\beta _{1})q^{4}+\cdots\)
2555.1.d.e	$2555$	$1$	2555.d	2555.d	$2$	$2$	$2$	$1.275$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-511}) \)	\(\Q(\sqrt{365}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-iq^{5}-iq^{7}-q^{9}-iq^{13}+\cdots\)
2555.1.d.f	$2555$	$1$	2555.d	2555.d	$2$	$12$	$12$	$1.275$	\(\Q(\zeta_{28})\)	$D_{14}$	\(\Q(\sqrt{-511}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{28}^{6}+\zeta_{28}^{8})q^{2}+(-1-\zeta_{28}^{2}+\cdots)q^{4}+\cdots\)
3577.1.p.a	$3577$	$1$	3577.p	511.p	$6$	$6$	$3$	$1.785$	6.0.64827.1	$D_{7}$	\(\Q(\sqrt{-511}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+(-\beta _{1}+\beta _{2})q^{2}+(-\beta _{1}-\beta _{4})q^{4}+\cdots\)
3577.1.p.b	$3577$	$1$	3577.p	511.p	$6$	$6$	$3$	$1.785$	6.0.64827.1	$D_{7}$	\(\Q(\sqrt{-511}) \)	None		$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(-\beta _{1}+\beta _{2})q^{2}+(-\beta _{1}-\beta _{4})q^{4}+\cdots\)
511.3.c.a	$511$	$3$	511.c	511.c	$2$	$7$	$7$	$13.924$	7.7.\(\cdots\).1	$_{}$	\(\Q(\sqrt{-511}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-49\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{4})q^{4}+(\beta _{3}+\beta _{4})q^{5}+\cdots\)
511.3.c.b	$511$	$3$	511.c	511.c	$2$	$7$	$7$	$13.924$	7.7.\(\cdots\).1	$_{}$	\(\Q(\sqrt{-511}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(49\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{4})q^{4}+(-\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots\)