Newform search results

Results (1-50 of 258 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
117.1.j.a	$117$	$1$	117.j	13.d	$4$	$2$	$1$	$0.058$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$		\(q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots\)
117.2.a.a	$117$	$2$	117.a	1.a	$1$	$1$	$1$	$0.934$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-2q^{5}-4q^{7}+3q^{8}+2q^{10}+\cdots\)
117.2.a.b	$117$	$2$	117.a	1.a	$1$	$2$	$2$	$0.934$	\(\Q(\sqrt{3}) \)	$_{}$	None	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}+2q^{7}-\beta q^{8}-2\beta q^{11}+\cdots\)
117.2.a.c	$117$	$2$	117.a	1.a	$1$	$2$	$2$	$0.934$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}-2\beta q^{5}-2\beta q^{7}+\cdots\)
117.2.b.a	$117$	$2$	117.b	13.b	$2$	$2$	$2$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{6}q^{2}-q^{4}-2\zeta_{6}q^{7}-\zeta_{6}q^{8}+2\zeta_{6}q^{11}+\cdots\)
117.2.b.b	$117$	$2$	117.b	13.b	$2$	$4$	$4$	$0.934$	4.0.8112.1	$_{}$	\(\Q(\sqrt{-39}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{2}q^{2}+(-2-\beta _{3})q^{4}-\beta _{1}q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots\)
117.2.e.a	$117$	$2$	117.e	9.c	$3$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(-2\)	\(-3\)	\(-4\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots\)
117.2.e.b	$117$	$2$	117.e	9.c	$3$	$10$	$5$	$0.934$	10.0.\(\cdots\).1	$_{}$	None	None		$2$	$0$	\(-2\)	\(1\)	\(-1\)	\(2\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{9}q^{2}+(\beta _{1}-\beta _{5}+\beta _{9})q^{3}+(\beta _{1}-\beta _{6}+\cdots)q^{4}+\cdots\)
117.2.e.c	$117$	$2$	117.e	9.c	$3$	$12$	$6$	$0.934$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(2\)	\(-2\)	\(3\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(\beta _{3}-\beta _{7}-\beta _{8}+\beta _{10}-\beta _{11})q^{2}+\cdots\)
117.2.f.a	$117$	$2$	117.f	117.f	$3$	$24$	$12$	$0.934$		$_{}$	None	None		$2$	$0$	\(1\)	\(-1\)	\(-2\)	\(-6\)			$\mathrm{SU}(2)[C_{3}]$
117.2.g.a	$117$	$2$	117.g	13.c	$3$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$1$	$\mathrm{U}(1)[D_{3}]$	\(q+2\zeta_{6}q^{4}+\zeta_{6}q^{7}+(4-3\zeta_{6})q^{13}+\cdots\)
117.2.g.b	$117$	$2$	117.g	13.c	$3$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(2\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+q^{5}-2\zeta_{6}q^{7}+\cdots\)
117.2.g.c	$117$	$2$	117.g	13.c	$3$	$4$	$2$	$0.934$	\(\Q(\sqrt{-3}, \sqrt{17})\)	$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(6\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{1}q^{2}+(-2+\beta _{1}+2\beta _{2}+\beta _{3})q^{4}+\cdots\)
117.2.h.a	$117$	$2$	117.h	117.h	$3$	$24$	$12$	$0.934$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-1\)	\(-2\)	\(3\)			$\mathrm{SU}(2)[C_{3}]$
117.2.i.a	$117$	$2$	117.i	39.f	$4$	$12$	$6$	$0.934$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{9}q^{2}+(\beta _{3}-2\beta _{4})q^{4}-\beta _{8}q^{5}+(-1+\cdots)q^{7}+\cdots\)
117.2.l.a	$117$	$2$	117.l	117.l	$6$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(3\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(1-2\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-q^{4}+\cdots\)
117.2.l.b	$117$	$2$	117.l	117.l	$6$	$22$	$11$	$0.934$		$_{}$	None	None		$2$	$0$	\(0\)	\(-1\)	\(-3\)	\(-6\)			$\mathrm{SU}(2)[C_{6}]$
117.2.q.a	$117$	$2$	117.q	13.e	$6$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q-2\zeta_{6}q^{4}+(2-4\zeta_{6})q^{5}+(-2+\zeta_{6})q^{7}+\cdots\)
117.2.q.b	$117$	$2$	117.q	13.e	$6$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(9\)		$1$	$\mathrm{U}(1)[D_{6}]$	\(q-2\zeta_{6}q^{4}+(6-3\zeta_{6})q^{7}+(-4+3\zeta_{6})q^{13}+\cdots\)
117.2.q.c	$117$	$2$	117.q	13.e	$6$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(3\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(1+\zeta_{6})q^{2}+\zeta_{6}q^{4}+(-1+2\zeta_{6})q^{5}+\cdots\)
117.2.q.d	$117$	$2$	117.q	13.e	$6$	$4$	$2$	$0.934$	\(\Q(\sqrt{-3}, \sqrt{-5})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-12\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{1}q^{2}+3\beta _{2}q^{4}-\beta _{3}q^{5}+(-4+2\beta _{2}+\cdots)q^{7}+\cdots\)
117.2.r.a	$117$	$2$	117.r	117.r	$6$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(-3\)	\(-3\)	\(-3\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-2+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}+(1+\cdots)q^{4}+\cdots\)
117.2.r.b	$117$	$2$	117.r	117.r	$6$	$22$	$11$	$0.934$		$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(3\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
117.2.t.a	$117$	$2$	117.t	117.t	$6$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(0\)	\(-3\)	\(-6\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(-2+\cdots)q^{5}+\cdots\)
117.2.t.b	$117$	$2$	117.t	117.t	$6$	$2$	$1$	$0.934$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(-3\)	\(6\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(2+\cdots)q^{5}+\cdots\)
117.2.t.c	$117$	$2$	117.t	117.t	$6$	$20$	$10$	$0.934$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$3^{6}$	$\mathrm{SU}(2)[C_{6}]$	\(q-\beta _{17}q^{2}+\beta _{10}q^{3}+(1-\beta _{6}+\beta _{11}+\cdots)q^{4}+\cdots\)
117.2.x.a	$117$	$2$	117.x	117.x	$12$	$48$	$12$	$0.934$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-2\)	\(-6\)	\(-4\)			$\mathrm{SU}(2)[C_{12}]$
117.2.z.a	$117$	$2$	117.z	117.z	$12$	$4$	$1$	$0.934$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$4$	$1$	\(-6\)	\(-6\)	\(-6\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-1+\zeta_{12}-\zeta_{12}^{2}-2\zeta_{12}^{3})q^{2}+\cdots\)
117.2.z.b	$117$	$2$	117.z	117.z	$12$	$44$	$11$	$0.934$		$_{}$	None	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
117.2.ba.a	$117$	$2$	117.ba	39.k	$12$	$8$	$2$	$0.934$	\(\Q(\zeta_{24})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$2^{2}$	$\mathrm{SU}(2)[C_{12}]$	\(q+(\zeta_{24}^{4}-\zeta_{24}^{5})q^{2}-2\zeta_{24}q^{4}+(\zeta_{24}^{4}+\cdots)q^{5}+\cdots\)
117.2.ba.b	$117$	$2$	117.ba	39.k	$12$	$8$	$2$	$0.934$	\(\Q(\zeta_{24})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+\zeta_{24}^{7}q^{2}+\zeta_{24}^{2}q^{4}+(-\zeta_{24}+2\zeta_{24}^{3}+\cdots)q^{5}+\cdots\)
117.2.bc.a	$117$	$2$	117.bc	117.ac	$12$	$48$	$12$	$0.934$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-2\)	\(-6\)	\(2\)			$\mathrm{SU}(2)[C_{12}]$
117.3.c.a	$117$	$3$	117.c	3.b	$2$	$8$	$8$	$3.188$	8.0.\(\cdots\).15	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-16\)		$2^{4}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-1+\beta _{2}+\beta _{3})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
117.3.d.a	$117$	$3$	117.d	39.d	$2$	$8$	$8$	$3.188$	8.0.\(\cdots\).5	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{6}\cdot 3^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{6}q^{5}-\beta _{4}q^{7}+\cdots\)
117.3.j.a	$117$	$3$	117.j	13.d	$4$	$4$	$2$	$3.188$	\(\Q(i, \sqrt{10})\)	$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(-8\)	\(-12\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1+\beta _{1}+\beta _{2})q^{2}+(2\beta _{1}+3\beta _{2}+2\beta _{3})q^{4}+\cdots\)
117.3.j.b	$117$	$3$	117.j	13.d	$4$	$8$	$4$	$3.188$	8.0.\(\cdots\).10	$_{}$	None	None		$2$	$0$	\(-4\)	\(0\)	\(20\)	\(8\)		$2^{4}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{4}q^{2}+(-1-\beta _{1}-\beta _{4}-\beta _{7})q^{4}+\cdots\)
117.3.j.c	$117$	$3$	117.j	13.d	$4$	$8$	$4$	$3.188$	8.0.897122304.10	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$2^{8}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{2}q^{2}+(\beta _{3}+\beta _{7})q^{4}-\beta _{1}q^{5}+(1+\cdots)q^{7}+\cdots\)
117.3.k.a	$117$	$3$	117.k	117.k	$6$	$52$	$26$	$3.188$		$_{}$	None	None		$2$	$0$	\(0\)	\(-1\)	\(-6\)	\(-1\)			$\mathrm{SU}(2)[C_{6}]$
117.3.m.a	$117$	$3$	117.m	117.m	$6$	$52$	$26$	$3.188$		$_{}$	None	None		$2$	$0$	\(-3\)	\(-1\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
117.3.n.a	$117$	$3$	117.n	117.n	$6$	$52$	$26$	$3.188$		$_{}$	None	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
117.3.o.a	$117$	$3$	117.o	39.h	$6$	$20$	$10$	$3.188$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(42\)		$2^{2}\cdot 3^{11}$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{1}q^{2}+(-2\beta _{5}+\beta _{10})q^{4}+(\beta _{12}+\cdots)q^{5}+\cdots\)
117.3.p.a	$117$	$3$	117.p	39.i	$6$	$20$	$10$	$3.188$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)		$2^{2}\cdot 3^{5}$	$\mathrm{SU}(2)[C_{6}]$	\(q-\beta _{5}q^{2}+(2\beta _{3}-\beta _{4})q^{4}+(\beta _{8}-\beta _{15}+\cdots)q^{5}+\cdots\)
117.3.s.a	$117$	$3$	117.s	9.d	$6$	$48$	$24$	$3.188$		$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(-18\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
117.3.u.a	$117$	$3$	117.u	117.u	$6$	$52$	$26$	$3.188$		$_{}$	None	None		$2$	$0$	\(-3\)	\(-1\)	\(-6\)	\(2\)			$\mathrm{SU}(2)[C_{6}]$
117.3.v.a	$117$	$3$	117.v	117.v	$6$	$52$	$26$	$3.188$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-1\)	\(0\)	\(-3\)			$\mathrm{SU}(2)[C_{6}]$
117.3.w.a	$117$	$3$	117.w	117.w	$12$	$104$	$26$	$3.188$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-2\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
117.3.y.a	$117$	$3$	117.y	117.y	$12$	$104$	$26$	$3.188$		$_{}$	None	None		$4$	$0$	\(-2\)	\(-8\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
117.3.bb.a	$117$	$3$	117.bb	117.ab	$12$	$104$	$26$	$3.188$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-2\)	\(-2\)	\(-6\)			$\mathrm{SU}(2)[C_{12}]$
117.3.bd.a	$117$	$3$	117.bd	13.f	$12$	$4$	$1$	$3.188$	\(\Q(\zeta_{12})\)	$_{}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-22\)		$1$	$\mathrm{U}(1)[D_{12}]$	\(q-4\zeta_{12}q^{4}+(-8-8\zeta_{12}+5\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
117.3.bd.b	$117$	$3$	117.bd	13.f	$12$	$4$	$1$	$3.188$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(2\)	\(0\)	\(14\)	\(16\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(1-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(-1-2\zeta_{12}+\cdots)q^{4}+\cdots\)