Newform search results

Results (18 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
991.1.b.a	$991$	$1$	991.b	991.b	$2$	$8$	$8$	$0.495$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-991}) \)	None	✓	✓	✓	✓	991.1.b.a	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q+\beta _{6}q^{2}+(1-\beta _{5})q^{4}+\beta _{2}q^{5}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
991.2.a.a	$991$	$2$	991.a	1.a	$1$	$33$	$33$	$7.913$		$_{}$	None	None	✓	✓	✓	✓	991.2.a.a	$1$	$1$	\(-5\)	\(-6\)	\(-24\)	\(-9\)	$+$		$\mathrm{SU}(2)$
991.2.a.b	$991$	$2$	991.a	1.a	$1$	$49$	$49$	$7.913$		$_{}$	None	None	✓	✓	✓	✓	991.2.a.b	$1$	$0$	\(4\)	\(4\)	\(26\)	\(3\)	$-$		$\mathrm{SU}(2)$
991.2.c.a	$991$	$2$	991.c	991.c	$3$	$162$	$81$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.c.a	$2$	$0$	\(-2\)	\(-6\)	\(1\)	\(-4\)			$\mathrm{SU}(2)[C_{3}]$
991.2.d.a	$991$	$2$	991.d	991.d	$5$	$324$	$81$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.d.a	$2$	$0$	\(-6\)	\(-4\)	\(-6\)	\(9\)			$\mathrm{SU}(2)[C_{5}]$
991.2.f.a	$991$	$2$	991.f	991.f	$9$	$492$	$82$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.f.a	$2$	$0$	\(-12\)	\(0\)	\(-6\)	\(-3\)			$\mathrm{SU}(2)[C_{9}]$
991.2.h.a	$991$	$2$	991.h	991.h	$11$	$810$	$81$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.h.a	$2$	$0$	\(-7\)	\(-16\)	\(-7\)	\(-30\)			$\mathrm{SU}(2)[C_{11}]$
991.2.i.a	$991$	$2$	991.i	991.i	$15$	$648$	$81$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.i.a	$2$	$0$	\(-18\)	\(1\)	\(-6\)	\(-6\)			$\mathrm{SU}(2)[C_{15}]$
991.2.m.a	$991$	$2$	991.m	991.m	$33$	$1620$	$81$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.m.a	$2$	$0$	\(-20\)	\(-5\)	\(-23\)	\(15\)			$\mathrm{SU}(2)[C_{33}]$
991.2.n.a	$991$	$2$	991.n	991.n	$45$	$1968$	$82$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.n.a	$2$	$0$	\(-48\)	\(-30\)	\(-24\)	\(-27\)			$\mathrm{SU}(2)[C_{45}]$
991.2.o.a	$991$	$2$	991.o	991.o	$55$	$3240$	$81$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.o.a	$2$	$0$	\(-38\)	\(-84\)	\(-38\)	\(-20\)			$\mathrm{SU}(2)[C_{55}]$
991.2.r.a	$991$	$2$	991.r	991.r	$99$	$4920$	$82$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.r.a	$2$	$0$	\(-54\)	\(-66\)	\(-60\)	\(-63\)			$\mathrm{SU}(2)[C_{99}]$
991.2.t.a	$991$	$2$	991.t	991.t	$165$	$6480$	$81$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.t.a	$2$	$0$	\(-70\)	\(-45\)	\(-82\)	\(-115\)			$\mathrm{SU}(2)[C_{165}]$
991.2.w.a	$991$	$2$	991.w	991.w	$495$	$19680$	$82$	$7.913$		$_{}$	None	None		✓	✓	✓	991.2.w.a	$2$	$0$	\(-216\)	\(-234\)	\(-240\)	\(-237\)			$\mathrm{SU}(2)[C_{495}]$
991.4.a.a	$991$	$4$	991.a	1.a	$1$	$115$	$115$	$58.471$		$_{}$	None	None	✓	✓	✓	✓	991.4.a.a	$1$	$1$	\(-12\)	\(-20\)	\(-145\)	\(-68\)	$-$		$\mathrm{SU}(2)$
991.4.a.b	$991$	$4$	991.a	1.a	$1$	$132$	$132$	$58.471$		$_{}$	None	None	✓	✓	✓	✓	991.4.a.b	$1$	$0$	\(12\)	\(22\)	\(135\)	\(72\)	$+$		$\mathrm{SU}(2)$
991.6.a.a	$991$	$6$	991.a	1.a	$1$	$198$	$198$	$158.940$		$_{}$	None	None	✓	✓	✓	✓	991.6.a.a	$1$	$1$	\(-24\)	\(-74\)	\(-672\)	\(-549\)	$+$		$\mathrm{SU}(2)$
991.6.a.b	$991$	$6$	991.a	1.a	$1$	$215$	$215$	$158.940$		$_{}$	None	None	✓	✓	✓	✓	991.6.a.b	$1$	$0$	\(24\)	\(52\)	\(728\)	\(431\)	$-$		$\mathrm{SU}(2)$