LMFDB - L-function search results

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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

Arithmetic

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Results (1-50 of 80 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1080-1.1-c5-0-0	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.0561911$	Modular form 1080.6.a.l.1.1
2-1080-1.1-c5-0-1	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.0575721$	Modular form 1080.6.a.k.1.2
2-1080-1.1-c5-0-10	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.423084$	Modular form 1080.6.a.p.1.1
2-1080-1.1-c5-0-11	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.444654$	Modular form 1080.6.a.s.1.2
2-1080-1.1-c5-0-12	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.453125$	Modular form 1080.6.a.l.1.2
2-1080-1.1-c5-0-13	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.498224$	Modular form 1080.6.a.e.1.1
2-1080-1.1-c5-0-14	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.541939$	Modular form 1080.6.a.l.1.5
2-1080-1.1-c5-0-15	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.554854$	Modular form 1080.6.a.r.1.3
2-1080-1.1-c5-0-16	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.556439$	Modular form 1080.6.a.t.1.3
2-1080-1.1-c5-0-17	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.605657$	Modular form 1080.6.a.l.1.3
2-1080-1.1-c5-0-18	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.621107$	Modular form 1080.6.a.p.1.4
2-1080-1.1-c5-0-19	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.636994$	Modular form 1080.6.a.o.1.1
2-1080-1.1-c5-0-2	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.196446$	Modular form 1080.6.a.s.1.4
2-1080-1.1-c5-0-20	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.646015$	Modular form 1080.6.a.k.1.4
2-1080-1.1-c5-0-21	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.651030$	Modular form 1080.6.a.t.1.6
2-1080-1.1-c5-0-22	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.651506$	Modular form 1080.6.a.e.1.3
2-1080-1.1-c5-0-23	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.666104$	Modular form 1080.6.a.k.1.5
2-1080-1.1-c5-0-24	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.683116$	Modular form 1080.6.a.t.1.2
2-1080-1.1-c5-0-25	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.701671$	Modular form 1080.6.a.p.1.3
2-1080-1.1-c5-0-26	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.702315$	Modular form 1080.6.a.o.1.3
2-1080-1.1-c5-0-27	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.704487$	Modular form 1080.6.a.r.1.4
2-1080-1.1-c5-0-28	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.737824$	Modular form 1080.6.a.s.1.5
2-1080-1.1-c5-0-29	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.741651$	Modular form 1080.6.a.s.1.6
2-1080-1.1-c5-0-3	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.226906$	Modular form 1080.6.a.o.1.2
2-1080-1.1-c5-0-30	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.757447$	Modular form 1080.6.a.s.1.3
2-1080-1.1-c5-0-31	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.772597$	Modular form 1080.6.a.t.1.4
2-1080-1.1-c5-0-32	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.799805$	Modular form 1080.6.a.p.1.2
2-1080-1.1-c5-0-33	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.801884$	Modular form 1080.6.a.o.1.5
2-1080-1.1-c5-0-34	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.836308$	Modular form 1080.6.a.k.1.3
2-1080-1.1-c5-0-35	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.839785$	Modular form 1080.6.a.r.1.2
2-1080-1.1-c5-0-36	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.875499$	Modular form 1080.6.a.l.1.4
2-1080-1.1-c5-0-37	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.897253$	Modular form 1080.6.a.o.1.4
2-1080-1.1-c5-0-38	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.920887$	Modular form 1080.6.a.c.1.2
2-1080-1.1-c5-0-39	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓	✓	✓	$0.5$	$1$	$0.932335$	Modular form 1080.6.a.a Modular form 1080.6.a.a.1.1
2-1080-1.1-c5-0-4	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.253657$	Modular form 1080.6.a.s.1.1
2-1080-1.1-c5-0-40	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.933039$	Modular form 1080.6.a.p.1.5
2-1080-1.1-c5-0-41	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.984973$	Modular form 1080.6.a.r.1.5
2-1080-1.1-c5-0-42	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$0.994781$	Modular form 1080.6.a.m.1.1
2-1080-1.1-c5-0-43	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.00231$	Modular form 1080.6.a.i.1.1
2-1080-1.1-c5-0-44	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.02081$	Modular form 1080.6.a.j.1.2
2-1080-1.1-c5-0-45	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.02617$	Modular form 1080.6.a.j.1.1
2-1080-1.1-c5-0-46	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.06192$	Modular form 1080.6.a.m.1.2
2-1080-1.1-c5-0-47	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.06370$	Modular form 1080.6.a.i.1.2
2-1080-1.1-c5-0-48	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.07165$	Modular form 1080.6.a.g.1.1
2-1080-1.1-c5-0-49	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.08297$	Modular form 1080.6.a.i.1.3
2-1080-1.1-c5-0-5	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0$	$0$	$0.313996$	Modular form 1080.6.a.c.1.1
2-1080-1.1-c5-0-50	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.10968$	Modular form 1080.6.a.j.1.3
2-1080-1.1-c5-0-51	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.11769$	Modular form 1080.6.a.q.1.1
2-1080-1.1-c5-0-52	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓		✓	$0.5$	$1$	$1.11895$	Modular form 1080.6.a.f.1.1
2-1080-1.1-c5-0-53	$13.1$	$173.$	$2$	$2^{3} \cdot 3^{3} \cdot 5$	1.1	$$	$5.0$	$5$	✓	✓	✓	✓	$0.5$	$1$	$1.12714$	Modular form 1080.6.a.b Modular form 1080.6.a.b.1.1

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.