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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 595 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3887-23.22-c0-0-0	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓			$0.5$	$0$	$0.527187$	Artin representation 2.3887.8t8.a.a Modular form 3887.1.d.c.2874.2
2-3887-23.22-c0-0-1	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓	✓	✓	$0$	$0$	$0.617322$	Artin representation 2.3887.4t3.c Artin representation 2.3887.4t3.c.a Modular form 3887.1.d.a Modular form 3887.1.d.a.2874.1
2-3887-23.22-c0-0-10	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$1.14094$	Modular form 3887.1.d.f.2874.2
2-3887-23.22-c0-0-11	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$1.21069$	Modular form 3887.1.d.g.2874.2
2-3887-23.22-c0-0-12	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$1.22459$	Artin representation 2.3887.9t3.a.b Modular form 3887.1.d.e.2874.2
2-3887-23.22-c0-0-13	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$1.32957$	Modular form 3887.1.d.g.2874.6
2-3887-23.22-c0-0-14	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$1.68868$	Modular form 3887.1.d.f.2874.3
2-3887-23.22-c0-0-15	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$1.78982$	Modular form 3887.1.d.d.2874.2
2-3887-23.22-c0-0-16	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$1.80230$	Modular form 3887.1.d.g.2874.5
2-3887-23.22-c0-0-17	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓			$0.5$	$0$	$1.94974$	Artin representation 2.3887.8t8.a.b Modular form 3887.1.d.c.2874.1
2-3887-23.22-c0-0-2	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$0.624362$	Modular form 3887.1.d.g.2874.1
2-3887-23.22-c0-0-3	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$0.707626$	Modular form 3887.1.d.g.2874.3
2-3887-23.22-c0-0-4	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$0.740075$	Modular form 3887.1.d.f.2874.1
2-3887-23.22-c0-0-5	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$0.805479$	Artin representation 2.3887.9t3.a.c Modular form 3887.1.d.e.2874.1
2-3887-23.22-c0-0-6	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓	✓	✓	$0$	$0$	$0.838544$	Artin representation 2.3887.6t3.a Artin representation 2.3887.6t3.a.a Modular form 3887.1.d.b Modular form 3887.1.d.b.2874.1
2-3887-23.22-c0-0-7	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$0.840794$	Modular form 3887.1.d.g.2874.4
2-3887-23.22-c0-0-8	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$0.938573$	Modular form 3887.1.d.d.2874.1
2-3887-23.22-c0-0-9	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	23.22	$0.0$	✓	✓		✓	$0$	$0$	$0.982610$	Artin representation 2.3887.9t3.a.a Modular form 3887.1.d.e.2874.3
2-3887-299.114-c0-0-0	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$-0.126$	$0$	$0.422219$	Modular form 3887.1.j.g.3403.4
2-3887-299.114-c0-0-1	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.373$	$0$	$0.495547$	Modular form 3887.1.j.g.3403.2
2-3887-299.114-c0-0-10	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$-0.0426$	$0$	$1.26604$	Modular form 3887.1.j.d.3403.2
2-3887-299.114-c0-0-11	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.123$	$0$	$1.42600$	Modular form 3887.1.j.f.3403.2
2-3887-299.114-c0-0-12	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.457$	$0$	$1.51757$	Modular form 3887.1.j.a.3403.1
2-3887-299.114-c0-0-13	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.123$	$0$	$1.90936$	Modular form 3887.1.j.f.3403.3
2-3887-299.114-c0-0-14	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.457$	$0$	$1.97865$	Modular form 3887.1.j.c.3403.1
2-3887-299.114-c0-0-15	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.373$	$0$	$2.04506$	Modular form 3887.1.j.g.3403.6
2-3887-299.114-c0-0-2	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.457$	$0$	$0.621939$	Modular form 3887.1.j.b.3403.1
2-3887-299.114-c0-0-3	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.123$	$0$	$0.730050$	Modular form 3887.1.j.f.3403.1
2-3887-299.114-c0-0-4	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$-0.341$	$0$	$0.730612$	Modular form 3887.1.j.e.3403.1
2-3887-299.114-c0-0-5	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$-0.0426$	$0$	$0.734340$	Modular form 3887.1.j.d.3403.1
2-3887-299.114-c0-0-6	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$-0.126$	$0$	$0.748904$	Modular form 3887.1.j.g.3403.1
2-3887-299.114-c0-0-7	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$-0.154$	$0$	$0.993297$	Modular form 3887.1.j.e.3403.2
2-3887-299.114-c0-0-8	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$0.373$	$0$	$1.22048$	Modular form 3887.1.j.g.3403.3
2-3887-299.114-c0-0-9	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.114	$0.0$	✓	✓			$-0.126$	$0$	$1.22990$	Modular form 3887.1.j.g.3403.5
2-3887-299.160-c0-0-0	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.457$	$0$	$0.107395$	Modular form 3887.1.j.a.2851.1
2-3887-299.160-c0-0-1	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.373$	$0$	$0.322527$	Modular form 3887.1.j.g.2851.3
2-3887-299.160-c0-0-10	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$0.0426$	$0$	$1.33565$	Modular form 3887.1.j.d.2851.2
2-3887-299.160-c0-0-11	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.123$	$0$	$1.57967$	Modular form 3887.1.j.f.2851.3
2-3887-299.160-c0-0-12	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$0.154$	$0$	$1.65184$	Modular form 3887.1.j.e.2851.2
2-3887-299.160-c0-0-13	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.373$	$0$	$1.70380$	Modular form 3887.1.j.g.2851.2
2-3887-299.160-c0-0-14	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$0.126$	$0$	$2.07380$	Modular form 3887.1.j.g.2851.5
2-3887-299.160-c0-0-15	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.457$	$0$	$2.25256$	Modular form 3887.1.j.b.2851.1
2-3887-299.160-c0-0-2	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.123$	$0$	$0.460984$	Modular form 3887.1.j.f.2851.2
2-3887-299.160-c0-0-3	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.123$	$0$	$0.625167$	Modular form 3887.1.j.f.2851.1
2-3887-299.160-c0-0-4	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$0.0426$	$0$	$0.625676$	Modular form 3887.1.j.d.2851.1
2-3887-299.160-c0-0-5	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.457$	$0$	$0.891890$	Modular form 3887.1.j.c.2851.1
2-3887-299.160-c0-0-6	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$0.126$	$0$	$0.933135$	Modular form 3887.1.j.g.2851.1
2-3887-299.160-c0-0-7	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$-0.373$	$0$	$1.16563$	Modular form 3887.1.j.g.2851.6
2-3887-299.160-c0-0-8	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$0.341$	$0$	$1.18930$	Modular form 3887.1.j.e.2851.1
2-3887-299.160-c0-0-9	$1.39$	$1.93$	$2$	$13^{2} \cdot 23$	299.160	$0.0$	✓	✓			$0.126$	$0$	$1.23214$	Modular form 3887.1.j.g.2851.4

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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.