Newform search results

Results (1-50 of 90 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
73.2.a.a	$73$	$2$	73.a	1.a	$1$	$1$	$1$	$0.583$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}+2q^{7}-3q^{8}-3q^{9}+\cdots\)
73.2.a.b	$73$	$2$	73.a	1.a	$1$	$2$	$2$	$0.583$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-3\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(-2+\beta )q^{3}+3\beta q^{4}+\cdots\)
73.2.a.c	$73$	$2$	73.a	1.a	$1$	$2$	$2$	$0.583$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{3}+(1+\beta )q^{4}-\beta q^{5}+\cdots\)
73.2.b.a	$73$	$2$	73.b	73.b	$2$	$4$	$4$	$0.583$	4.0.35600.3	None		$2$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+\beta _{2})q^{2}+\beta _{2}q^{3}-\beta _{2}q^{4}+\beta _{1}q^{5}+\cdots\)
73.2.c.a	$73$	$2$	73.c	73.c	$3$	$8$	$4$	$0.583$	8.0.142635249.1	None		$2$	$0$	\(1\)	\(-6\)	\(2\)	\(2\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{7}q^{2}+(-1+\beta _{5})q^{3}+(\beta _{1}+\beta _{4}+\cdots)q^{4}+\cdots\)
73.2.d.a	$73$	$2$	73.d	73.d	$4$	$2$	$1$	$0.583$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(0\)	\(2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}-2iq^{3}-q^{4}+(1+i)q^{5}-2iq^{6}+\cdots\)
73.2.d.b	$73$	$2$	73.d	73.d	$4$	$8$	$4$	$0.583$	8.0.110166016.2	None		$2$	$0$	\(-4\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{4}q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)
73.2.e.a	$73$	$2$	73.e	73.e	$6$	$8$	$4$	$0.583$	\(\Q(\zeta_{15})\)	None		$2$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1+\zeta_{15}-\zeta_{15}^{2}-\zeta_{15}^{3}+\zeta_{15}^{4}+\cdots)q^{2}+\cdots\)
73.2.g.a	$73$	$2$	73.g	73.g	$9$	$30$	$5$	$0.583$		None		$2$	$0$	\(-6\)	\(0\)	\(-12\)	\(3\)			$\mathrm{SU}(2)[C_{9}]$
73.2.h.a	$73$	$2$	73.h	73.h	$12$	$20$	$5$	$0.583$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$2$	$0$	\(-4\)	\(0\)	\(-4\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q-\beta _{9}q^{2}+(\beta _{2}+\beta _{6}-\beta _{8}-\beta _{11}+\beta _{13}+\cdots)q^{3}+\cdots\)
73.2.i.a	$73$	$2$	73.i	73.i	$18$	$30$	$5$	$0.583$		None		$2$	$0$	\(-6\)	\(-6\)	\(0\)	\(-9\)			$\mathrm{SU}(2)[C_{18}]$
73.2.k.a	$73$	$2$	73.k	73.k	$36$	$72$	$6$	$0.583$		None		$2$	$0$	\(-12\)	\(-18\)	\(-12\)	\(-18\)			$\mathrm{SU}(2)[C_{36}]$
73.3.f.a	$73$	$3$	73.f	73.f	$8$	$48$	$12$	$1.989$		None		$2$	$0$	\(-8\)	\(-4\)	\(-16\)	\(12\)			$\mathrm{SU}(2)[C_{8}]$
73.3.j.a	$73$	$3$	73.j	73.j	$24$	$96$	$12$	$1.989$		None		$2$	$0$	\(-4\)	\(-8\)	\(4\)	\(-24\)			$\mathrm{SU}(2)[C_{24}]$
73.3.l.a	$73$	$3$	73.l	73.l	$72$	$264$	$11$	$1.989$		None		$2$	$0$	\(-24\)	\(-24\)	\(-24\)	\(-24\)			$\mathrm{SU}(2)[C_{72}]$
73.4.a.a	$73$	$4$	73.a	1.a	$1$	$1$	$1$	$4.307$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(-8\)	\(6\)	\(-34\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}-8q^{3}+q^{4}+6q^{5}-24q^{6}+\cdots\)
73.4.a.b	$73$	$4$	73.a	1.a	$1$	$7$	$7$	$4.307$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-12\)	\(-6\)	\(-32\)	\(-22\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{4})q^{2}+(-1+\beta _{2}+\beta _{5}-\beta _{6})q^{3}+\cdots\)
73.4.a.c	$73$	$4$	73.a	1.a	$1$	$10$	$10$	$4.307$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(10\)	\(24\)	\(42\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{7})q^{3}+(5-\beta _{1}+\cdots)q^{4}+\cdots\)
73.4.b.a	$73$	$4$	73.b	73.b	$2$	$18$	$18$	$4.307$	\(\mathbb{Q}[x]/(x^{18} + \cdots)\)	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$2^{8}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{2}-\beta _{3}q^{3}+(4+\beta _{2})q^{4}-\beta _{1}q^{5}+\cdots\)
73.4.c.a	$73$	$4$	73.c	73.c	$3$	$36$	$18$	$4.307$		None		$2$	$0$	\(-1\)	\(-2\)	\(11\)	\(-4\)			$\mathrm{SU}(2)[C_{3}]$
73.4.d.a	$73$	$4$	73.d	73.d	$4$	$34$	$17$	$4.307$		None		$2$	$0$	\(-8\)	\(0\)	\(4\)	\(34\)			$\mathrm{SU}(2)[C_{4}]$
73.4.e.a	$73$	$4$	73.e	73.e	$6$	$36$	$18$	$4.307$		None		$2$	$0$	\(-5\)	\(-6\)	\(-15\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
73.4.g.a	$73$	$4$	73.g	73.g	$9$	$108$	$18$	$4.307$		None		$2$	$0$	\(-6\)	\(-21\)	\(18\)	\(9\)			$\mathrm{SU}(2)[C_{9}]$
73.4.h.a	$73$	$4$	73.h	73.h	$12$	$68$	$17$	$4.307$		None		$2$	$0$	\(2\)	\(0\)	\(-10\)	\(-28\)			$\mathrm{SU}(2)[C_{12}]$
73.4.i.a	$73$	$4$	73.i	73.i	$18$	$108$	$18$	$4.307$		None		$2$	$0$	\(-6\)	\(15\)	\(-30\)	\(-9\)			$\mathrm{SU}(2)[C_{18}]$
73.4.k.a	$73$	$4$	73.k	73.k	$36$	$204$	$17$	$4.307$		None		$2$	$0$	\(-12\)	\(-18\)	\(-12\)	\(-24\)			$\mathrm{SU}(2)[C_{36}]$
73.5.f.a	$73$	$5$	73.f	73.f	$8$	$92$	$23$	$7.546$		None		$2$	$0$	\(-8\)	\(-4\)	\(68\)	\(-164\)			$\mathrm{SU}(2)[C_{8}]$
73.5.j.a	$73$	$5$	73.j	73.j	$24$	$184$	$23$	$7.546$		None		$2$	$0$	\(-4\)	\(-8\)	\(-80\)	\(152\)			$\mathrm{SU}(2)[C_{24}]$
73.5.l.a	$73$	$5$	73.l	73.l	$72$	$576$	$24$	$7.546$		None		$2$	$0$	\(-24\)	\(-24\)	\(-24\)	\(-24\)			$\mathrm{SU}(2)[C_{72}]$
73.6.a.a	$73$	$6$	73.a	1.a	$1$	$14$	$14$	$11.708$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-17\)	\(-35\)	\(-129\)	\(-294\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(-3+\beta _{4})q^{3}+(13+\cdots)q^{4}+\cdots\)
73.6.a.b	$73$	$6$	73.a	1.a	$1$	$16$	$16$	$11.708$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(15\)	\(37\)	\(121\)	\(392\)	$-$	$2^{8}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2+\beta _{3})q^{3}+(18-\beta _{1}+\cdots)q^{4}+\cdots\)
73.6.b.a	$73$	$6$	73.b	73.b	$2$	$30$	$30$	$11.708$		None		$2$	$0$	\(-10\)	\(-6\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
73.6.c.a	$73$	$6$	73.c	73.c	$3$	$60$	$30$	$11.708$		None		$2$	$0$	\(-1\)	\(-62\)	\(-28\)	\(250\)			$\mathrm{SU}(2)[C_{3}]$
73.6.d.a	$73$	$6$	73.d	73.d	$4$	$62$	$31$	$11.708$		None		$2$	$0$	\(4\)	\(0\)	\(118\)	\(50\)			$\mathrm{SU}(2)[C_{4}]$
73.6.e.a	$73$	$6$	73.e	73.e	$6$	$60$	$30$	$11.708$		None		$2$	$0$	\(7\)	\(54\)	\(30\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
73.6.g.a	$73$	$6$	73.g	73.g	$9$	$174$	$29$	$11.708$		None		$2$	$0$	\(-6\)	\(24\)	\(-72\)	\(-357\)			$\mathrm{SU}(2)[C_{9}]$
73.6.h.a	$73$	$6$	73.h	73.h	$12$	$124$	$31$	$11.708$		None		$2$	$0$	\(-10\)	\(0\)	\(-124\)	\(-410\)			$\mathrm{SU}(2)[C_{12}]$
73.6.i.a	$73$	$6$	73.i	73.i	$18$	$174$	$29$	$11.708$		None		$2$	$0$	\(-6\)	\(-30\)	\(60\)	\(-9\)			$\mathrm{SU}(2)[C_{18}]$
73.6.k.a	$73$	$6$	73.k	73.k	$36$	$360$	$30$	$11.708$		None		$2$	$0$	\(-12\)	\(-18\)	\(-12\)	\(342\)			$\mathrm{SU}(2)[C_{36}]$
73.7.f.a	$73$	$7$	73.f	73.f	$8$	$144$	$36$	$16.794$		None		$2$	$0$	\(-8\)	\(-4\)	\(-136\)	\(812\)			$\mathrm{SU}(2)[C_{8}]$
73.7.j.a	$73$	$7$	73.j	73.j	$24$	$288$	$36$	$16.794$		None		$2$	$0$	\(-4\)	\(-8\)	\(124\)	\(-824\)			$\mathrm{SU}(2)[C_{24}]$
73.7.l.a	$73$	$7$	73.l	73.l	$72$	$864$	$36$	$16.794$		None		$2$	$0$	\(-24\)	\(-24\)	\(-24\)	\(-24\)			$\mathrm{SU}(2)[C_{72}]$
73.8.a.a	$73$	$8$	73.a	1.a	$1$	$20$	$20$	$22.804$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-25\)	\(-95\)	\(-821\)	\(-2744\)	$-$	$2^{13}\cdot 3^{7}\cdot 11$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(-5+\beta _{7})q^{3}+(54+\cdots)q^{4}+\cdots\)
73.8.a.b	$73$	$8$	73.a	1.a	$1$	$22$	$22$	$22.804$		None	✓	$1$	$0$	\(39\)	\(121\)	\(429\)	\(2058\)	$+$		$\mathrm{SU}(2)$
73.8.b.a	$73$	$8$	73.b	73.b	$2$	$42$	$42$	$22.804$		None		$2$	$0$	\(-2\)	\(-30\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
73.8.c.a	$73$	$8$	73.c	73.c	$3$	$84$	$42$	$22.804$		None		$2$	$0$	\(-17\)	\(130\)	\(386\)	\(-502\)			$\mathrm{SU}(2)[C_{3}]$
73.8.d.a	$73$	$8$	73.d	73.d	$4$	$82$	$41$	$22.804$		None		$2$	$0$	\(-20\)	\(0\)	\(-446\)	\(-2014\)			$\mathrm{SU}(2)[C_{4}]$
73.8.e.a	$73$	$8$	73.e	73.e	$6$	$84$	$42$	$22.804$		None		$2$	$0$	\(-1\)	\(-138\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
73.8.g.a	$73$	$8$	73.g	73.g	$9$	$258$	$43$	$22.804$		None		$2$	$0$	\(-6\)	\(-84\)	\(-12\)	\(1179\)			$\mathrm{SU}(2)[C_{9}]$
73.8.h.a	$73$	$8$	73.h	73.h	$12$	$164$	$41$	$22.804$		None		$2$	$0$	\(14\)	\(0\)	\(440\)	\(3190\)			$\mathrm{SU}(2)[C_{12}]$