Newform search results

Results (1-50 of 72 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
79.1.b.a	$79$	$1$	79.b	79.b	$2$	$2$	$2$	$0.039$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-79}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{5}-q^{8}+\cdots\)
79.2.a.a	$79$	$2$	79.a	1.a	$1$	$1$	$1$	$0.631$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-3\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
79.2.a.b	$79$	$2$	79.a	1.a	$1$	$5$	$5$	$0.631$	5.5.81589.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(7\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{2}-\beta _{4})q^{3}+\beta _{2}q^{4}+\cdots\)
79.2.c.a	$79$	$2$	79.c	79.c	$3$	$12$	$6$	$0.631$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(-1\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{3}-\beta _{9})q^{3}+(-1+\cdots)q^{4}+\cdots\)
79.2.e.a	$79$	$2$	79.e	79.e	$13$	$60$	$5$	$0.631$		$_{}$	None	None		$2$	$0$	\(-9\)	\(-9\)	\(-11\)	\(1\)			$\mathrm{SU}(2)[C_{13}]$
79.2.g.a	$79$	$2$	79.g	79.g	$39$	$144$	$6$	$0.631$		$_{}$	None	None		$2$	$0$	\(-24\)	\(-26\)	\(-25\)	\(-26\)			$\mathrm{SU}(2)[C_{39}]$
79.3.b.a	$79$	$3$	79.b	79.b	$2$	$5$	$5$	$2.153$	5.5.19503125.1	$_{}$	\(\Q(\sqrt{-79}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+2\beta _{1}+\beta _{4})q^{4}+(-3\beta _{1}+\cdots)q^{5}+\cdots\)
79.3.b.b	$79$	$3$	79.b	79.b	$2$	$8$	$8$	$2.153$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(-4\)	\(0\)	\(-2\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{4})q^{2}-\beta _{1}q^{3}+(1-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
79.3.d.a	$79$	$3$	79.d	79.d	$6$	$24$	$12$	$2.153$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(-1\)	\(-6\)			$\mathrm{SU}(2)[C_{6}]$
79.3.f.a	$79$	$3$	79.f	79.f	$26$	$156$	$13$	$2.153$		$_{}$	None	None		$2$	$0$	\(-9\)	\(-13\)	\(-11\)	\(-13\)			$\mathrm{SU}(2)[C_{26}]$
79.3.h.a	$79$	$3$	79.h	79.h	$78$	$288$	$12$	$2.153$		$_{}$	None	None		$2$	$0$	\(-24\)	\(-26\)	\(-25\)	\(-20\)			$\mathrm{SU}(2)[C_{78}]$
79.4.a.a	$79$	$4$	79.a	1.a	$1$	$2$	$2$	$4.661$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(0\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-4+\beta )q^{4}+(-3+6\beta )q^{5}+\cdots\)
79.4.a.b	$79$	$4$	79.a	1.a	$1$	$5$	$5$	$4.661$	5.5.4787257.1	$_{}$	None	None	✓	$1$	$1$	\(-3\)	\(-8\)	\(-41\)	\(-20\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{4})q^{2}+(-1-\beta _{2}+\beta _{4})q^{3}+\cdots\)
79.4.a.c	$79$	$4$	79.a	1.a	$1$	$12$	$12$	$4.661$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(4\)	\(8\)	\(39\)	\(16\)	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{9})q^{3}+(5+\beta _{2})q^{4}+\cdots\)
79.4.c.a	$79$	$4$	79.c	79.c	$3$	$38$	$19$	$4.661$		$_{}$	None	None		$2$	$0$	\(0\)	\(-7\)	\(-1\)	\(17\)			$\mathrm{SU}(2)[C_{3}]$
79.4.e.a	$79$	$4$	79.e	79.e	$13$	$228$	$19$	$4.661$		$_{}$	None	None		$2$	$0$	\(-13\)	\(-11\)	\(-11\)	\(-17\)			$\mathrm{SU}(2)[C_{13}]$
79.4.g.a	$79$	$4$	79.g	79.g	$39$	$456$	$19$	$4.661$		$_{}$	None	None		$2$	$0$	\(-26\)	\(-19\)	\(-25\)	\(-43\)			$\mathrm{SU}(2)[C_{39}]$
79.5.b.a	$79$	$5$	79.b	79.b	$2$	$5$	$5$	$8.166$	5.5.19503125.1	$_{}$	\(\Q(\sqrt{-79}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(2^{4}+2\beta _{1}-5\beta _{3})q^{4}+(5\beta _{1}+\cdots)q^{5}+\cdots\)
79.5.b.b	$79$	$5$	79.b	79.b	$2$	$20$	$20$	$8.166$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(-2\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(6-\beta _{5})q^{4}-\beta _{4}q^{5}+\cdots\)
79.5.d.a	$79$	$5$	79.d	79.d	$6$	$52$	$26$	$8.166$		$_{}$	None	None		$2$	$0$	\(2\)	\(6\)	\(-1\)	\(120\)			$\mathrm{SU}(2)[C_{6}]$
79.5.f.a	$79$	$5$	79.f	79.f	$26$	$300$	$25$	$8.166$		$_{}$	None	None		$2$	$0$	\(-17\)	\(-13\)	\(-11\)	\(-13\)			$\mathrm{SU}(2)[C_{26}]$
79.5.h.a	$79$	$5$	79.h	79.h	$78$	$624$	$26$	$8.166$		$_{}$	None	None		$2$	$0$	\(-28\)	\(-32\)	\(-25\)	\(-146\)			$\mathrm{SU}(2)[C_{78}]$
79.6.a.a	$79$	$6$	79.a	1.a	$1$	$14$	$14$	$12.670$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-8\)	\(-37\)	\(-201\)	\(-157\)	$+$	$2^{11}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-3+\beta _{6})q^{3}+(14+\cdots)q^{4}+\cdots\)
79.6.a.b	$79$	$6$	79.a	1.a	$1$	$19$	$19$	$12.670$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(8\)	\(17\)	\(199\)	\(39\)	$-$	$2^{12}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{5})q^{3}+(19+\beta _{2})q^{4}+\cdots\)
79.6.c.a	$79$	$6$	79.c	79.c	$3$	$64$	$32$	$12.670$		$_{}$	None	None		$2$	$0$	\(0\)	\(8\)	\(-1\)	\(-36\)			$\mathrm{SU}(2)[C_{3}]$
79.6.e.a	$79$	$6$	79.e	79.e	$13$	$396$	$33$	$12.670$		$_{}$	None	None		$2$	$0$	\(-13\)	\(7\)	\(-11\)	\(105\)			$\mathrm{SU}(2)[C_{13}]$
79.6.g.a	$79$	$6$	79.g	79.g	$39$	$768$	$32$	$12.670$		$_{}$	None	None		$2$	$0$	\(-26\)	\(-34\)	\(-25\)	\(10\)			$\mathrm{SU}(2)[C_{39}]$
79.7.b.a	$79$	$7$	79.b	79.b	$2$	$5$	$5$	$18.174$	5.5.19503125.1	$_{}$	\(\Q(\sqrt{-79}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(3\beta _{1}-2\beta _{4})q^{2}+(2^{6}-11\beta _{2}-28\beta _{3}+\cdots)q^{4}+\cdots\)
79.7.b.b	$79$	$7$	79.b	79.b	$2$	$34$	$34$	$18.174$		$_{}$	None	None		$2$	$0$	\(-12\)	\(0\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
79.7.d.a	$79$	$7$	79.d	79.d	$6$	$78$	$39$	$18.174$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-3\)	\(-1\)	\(225\)			$\mathrm{SU}(2)[C_{6}]$
79.7.f.a	$79$	$7$	79.f	79.f	$26$	$468$	$39$	$18.174$		$_{}$	None	None		$2$	$0$	\(-1\)	\(-13\)	\(-11\)	\(-13\)			$\mathrm{SU}(2)[C_{26}]$
79.7.h.a	$79$	$7$	79.h	79.h	$78$	$936$	$39$	$18.174$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-23\)	\(-25\)	\(-251\)			$\mathrm{SU}(2)[C_{78}]$
79.8.a.a	$79$	$8$	79.a	1.a	$1$	$20$	$20$	$24.678$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-24\)	\(-55\)	\(-1001\)	\(-489\)	$-$	$2^{23}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(-3-\beta _{4})q^{3}+(54+\cdots)q^{4}+\cdots\)
79.8.a.b	$79$	$8$	79.a	1.a	$1$	$25$	$25$	$24.678$		$_{}$	None	None	✓	$1$	$0$	\(8\)	\(107\)	\(999\)	\(883\)	$+$		$\mathrm{SU}(2)$
79.8.c.a	$79$	$8$	79.c	79.c	$3$	$92$	$46$	$24.678$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-28\)	\(-1\)	\(-2844\)			$\mathrm{SU}(2)[C_{3}]$
79.8.e.a	$79$	$8$	79.e	79.e	$13$	$540$	$45$	$24.678$		$_{}$	None	None		$2$	$0$	\(3\)	\(-65\)	\(-11\)	\(-407\)			$\mathrm{SU}(2)[C_{13}]$
79.8.g.a	$79$	$8$	79.g	79.g	$39$	$1104$	$46$	$24.678$		$_{}$	None	None		$2$	$0$	\(-18\)	\(2\)	\(-25\)	\(2818\)			$\mathrm{SU}(2)[C_{39}]$
79.9.b.a	$79$	$9$	79.b	79.b	$2$	$5$	$5$	$32.183$	5.5.19503125.1	$_{}$	\(\Q(\sqrt{-79}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}\cdot 7^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{2}+\beta _{3})q^{2}+(2^{8}-59\beta _{1}-5\beta _{4})q^{4}+\cdots\)
79.9.b.b	$79$	$9$	79.b	79.b	$2$	$48$	$48$	$32.183$		$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
79.9.d.a	$79$	$9$	79.d	79.d	$6$	$104$	$52$	$32.183$		$_{}$	None	None		$2$	$0$	\(2\)	\(-84\)	\(-1\)	\(-2190\)			$\mathrm{SU}(2)[C_{6}]$
79.9.f.a	$79$	$9$	79.f	79.f	$26$	$636$	$53$	$32.183$		$_{}$	None	None		$2$	$0$	\(-17\)	\(-13\)	\(-11\)	\(-13\)			$\mathrm{SU}(2)[C_{26}]$
79.9.h.a	$79$	$9$	79.h	79.h	$78$	$1248$	$52$	$32.183$		$_{}$	None	None		$2$	$0$	\(-28\)	\(58\)	\(-25\)	\(2164\)			$\mathrm{SU}(2)[C_{78}]$
79.10.a.a	$79$	$10$	79.a	1.a	$1$	$27$	$27$	$40.688$		$_{}$	None	None	✓	$1$	$1$	\(-16\)	\(-244\)	\(-5001\)	\(-2896\)	$+$		$\mathrm{SU}(2)$
79.10.a.b	$79$	$10$	79.a	1.a	$1$	$32$	$32$	$40.688$		$_{}$	None	None	✓	$1$	$0$	\(48\)	\(242\)	\(4999\)	\(6708\)	$-$		$\mathrm{SU}(2)$
79.10.c.a	$79$	$10$	79.c	79.c	$3$	$118$	$59$	$40.688$		$_{}$	None	None		$2$	$0$	\(16\)	\(161\)	\(-1\)	\(11161\)			$\mathrm{SU}(2)[C_{3}]$
79.10.e.a	$79$	$10$	79.e	79.e	$13$	$708$	$59$	$40.688$		$_{}$	None	None		$2$	$0$	\(-45\)	\(-11\)	\(-11\)	\(-3825\)			$\mathrm{SU}(2)[C_{13}]$
79.10.g.a	$79$	$10$	79.g	79.g	$39$	$1416$	$59$	$40.688$		$_{}$	None	None		$2$	$0$	\(-42\)	\(-187\)	\(-25\)	\(-11187\)			$\mathrm{SU}(2)[C_{39}]$
79.11.b.a	$79$	$11$	79.b	79.b	$2$	$1$	$1$	$50.193$	\(\Q\)	$_{}$	\(\Q(\sqrt{-79}) \)	None	✓	$2$	$0$	\(-15\)	\(0\)	\(4986\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-15q^{2}-799q^{4}+4986q^{5}+27345q^{8}+\cdots\)
79.11.b.b	$79$	$11$	79.b	79.b	$2$	$4$	$4$	$50.193$	4.4.780125.1	$_{}$	\(\Q(\sqrt{-79}) \)	None	✓	$2$	$0$	\(15\)	\(0\)	\(-4986\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(4+4\beta _{2}-7\beta _{3})q^{2}+(2^{10}+105\beta _{1}+\cdots)q^{4}+\cdots\)
79.11.b.c	$79$	$11$	79.b	79.b	$2$	$60$	$60$	$50.193$		$_{}$	None	None		$2$	$0$	\(20\)	\(0\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$