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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

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Results (1-50 of 136 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1682-1.1-c1-0-0	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.290414$	Modular form 1682.2.a.u.1.5
2-1682-1.1-c1-0-1	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.381244$	Elliptic curve 1682.b Modular form 1682.2.a.b Modular form 1682.2.a.b.1.1
2-1682-1.1-c1-0-10	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.780278$	Modular form 1682.2.a.v.1.2
2-1682-1.1-c1-0-11	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.816413$	Modular form 1682.2.a.r.1.3
2-1682-1.1-c1-0-12	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.820504$	Modular form 1682.2.a.k.1.1
2-1682-1.1-c1-0-13	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.960087$	Modular form 1682.2.a.u.1.3
2-1682-1.1-c1-0-14	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.972419$	Modular form 1682.2.a.t.1.2
2-1682-1.1-c1-0-15	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.00206$	Modular form 1682.2.a.r.1.5
2-1682-1.1-c1-0-16	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.02185$	Elliptic curve 1682.a Modular form 1682.2.a.a Modular form 1682.2.a.a.1.1
2-1682-1.1-c1-0-17	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.03759$	Elliptic curve 1682.f Modular form 1682.2.a.f Modular form 1682.2.a.f.1.1
2-1682-1.1-c1-0-18	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.04138$	Modular form 1682.2.a.o.1.1
2-1682-1.1-c1-0-19	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.07000$	Modular form 1682.2.a.u.1.2
2-1682-1.1-c1-0-2	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.431441$	Modular form 1682.2.a.t.1.1
2-1682-1.1-c1-0-20	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.11451$	Modular form 1682.2.a.r.1.4
2-1682-1.1-c1-0-21	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.11712$	Modular form 1682.2.a.v.1.5
2-1682-1.1-c1-0-22	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.12305$	Modular form 1682.2.a.k.1.2
2-1682-1.1-c1-0-23	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.13890$	Modular form 1682.2.a.v.1.1
2-1682-1.1-c1-0-24	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.17419$	Modular form 1682.2.a.n.1.1
2-1682-1.1-c1-0-25	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.19884$	Modular form 1682.2.a.q.1.1
2-1682-1.1-c1-0-26	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.20531$	Modular form 1682.2.a.n.1.2
2-1682-1.1-c1-0-27	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.20685$	Modular form 1682.2.a.u.1.7
2-1682-1.1-c1-0-28	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.30247$	Modular form 1682.2.a.v.1.3
2-1682-1.1-c1-0-29	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.32364$	Elliptic curve 1682.j Modular form 1682.2.a.j Modular form 1682.2.a.j.1.1
2-1682-1.1-c1-0-3	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.455639$	Modular form 1682.2.a.r.1.1
2-1682-1.1-c1-0-30	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.39029$	Modular form 1682.2.a.s.1.1
2-1682-1.1-c1-0-31	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.39084$	Modular form 1682.2.a.p.1.1
2-1682-1.1-c1-0-32	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.39294$	Modular form 1682.2.a.q.1.2
2-1682-1.1-c1-0-33	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.39345$	Elliptic curve 1682.i Modular form 1682.2.a.i Modular form 1682.2.a.i.1.1
2-1682-1.1-c1-0-34	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.40185$	Modular form 1682.2.a.r.1.6
2-1682-1.1-c1-0-35	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.44038$	Modular form 1682.2.a.l.1.1
2-1682-1.1-c1-0-36	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.44226$	Modular form 1682.2.a.u.1.6
2-1682-1.1-c1-0-37	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.44255$	Modular form 1682.2.a.u.1.8
2-1682-1.1-c1-0-38	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.47593$	Modular form 1682.2.a.q.1.3
2-1682-1.1-c1-0-39	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.48630$	Modular form 1682.2.a.m.1.2
2-1682-1.1-c1-0-4	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.561236$	Modular form 1682.2.a.u.1.1
2-1682-1.1-c1-0-40	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.50115$	Elliptic curve 1682.e Modular form 1682.2.a.e Modular form 1682.2.a.e.1.1
2-1682-1.1-c1-0-41	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.50784$	Modular form 1682.2.a.o.1.2
2-1682-1.1-c1-0-42	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.52739$	Modular form 1682.2.a.v.1.8
2-1682-1.1-c1-0-43	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.55007$	Modular form 1682.2.a.m.1.1
2-1682-1.1-c1-0-44	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.55213$	Modular form 1682.2.a.q.1.4
2-1682-1.1-c1-0-45	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.55501$	Modular form 1682.2.a.t.1.5
2-1682-1.1-c1-0-46	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.56025$	Modular form 1682.2.a.t.1.4
2-1682-1.1-c1-0-47	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.59626$	Modular form 1682.2.a.l.1.2
2-1682-1.1-c1-0-48	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.64898$	Modular form 1682.2.a.s.1.3
2-1682-1.1-c1-0-49	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.66981$	Modular form 1682.2.a.n.1.3
2-1682-1.1-c1-0-5	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.614390$	Elliptic curve 1682.c Modular form 1682.2.a.c Modular form 1682.2.a.c.1.1
2-1682-1.1-c1-0-50	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.71057$	Modular form 1682.2.a.v.1.7
2-1682-1.1-c1-0-51	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.71861$	Modular form 1682.2.a.v.1.6
2-1682-1.1-c1-0-52	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.73149$	Modular form 1682.2.a.q.1.6
2-1682-1.1-c1-0-53	$3.66$	$13.4$	$2$	$2 \cdot 29^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.74984$	Modular form 1682.2.a.s.1.2

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.