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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 8736 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
2-315-315.139-c0-0-0	$0.396$	$0.157$	$2$	$3^{2} \cdot 5 \cdot 7$	315.139	$0.0$	0	✓	✓			$-0.111$	$0$	$1.30636$	Artin representation 2.315.12t18.a.a Modular form 315.1.bg.a.139.1
2-315-315.139-c0-0-1	$0.396$	$0.157$	$2$	$3^{2} \cdot 5 \cdot 7$	315.139	$0.0$	0	✓	✓			$-0.111$	$0$	$1.70821$	Artin representation 2.315.6t5.a.b Modular form 315.1.bg.b.139.1
2-315-315.34-c0-0-0	$0.396$	$0.157$	$2$	$3^{2} \cdot 5 \cdot 7$	315.34	$0.0$	0	✓	✓			$0.111$	$0$	$1.94850$	Artin representation 2.315.12t18.a.b Modular form 315.1.bg.a.34.1
2-315-315.34-c0-0-1	$0.396$	$0.157$	$2$	$3^{2} \cdot 5 \cdot 7$	315.34	$0.0$	0	✓	✓			$0.111$	$0$	$2.63303$	Artin representation 2.315.6t5.a.a Modular form 315.1.bg.b.34.1
2-315-1.1-c1-0-0	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.00722$	Modular form 315.2.a.e.1.1
2-315-1.1-c1-0-1	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.17993$	Modular form 315.2.a.d.1.1
2-315-1.1-c1-0-2	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.25001$	Modular form 315.2.a.f.1.1
2-315-1.1-c1-0-3	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.35738$	Elliptic curve 315.b Modular form 315.2.a.b Modular form 315.2.a.b.1.1
2-315-1.1-c1-0-4	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.94094$	Modular form 315.2.a.c.1.1
2-315-1.1-c1-0-5	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.17599$	Elliptic curve 315.a Modular form 315.2.a.a Modular form 315.2.a.a.1.1
2-315-1.1-c1-0-6	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$2.21877$	Modular form 315.2.a.d.1.2
2-315-1.1-c1-0-7	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$2.27091$	Modular form 315.2.a.e.1.2
2-315-1.1-c1-0-8	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$2.32893$	Modular form 315.2.a.f.1.2
2-315-1.1-c1-0-9	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.71804$	Modular form 315.2.a.c.1.2
2-315-105.104-c1-0-0	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.455$	$0$	$0.112471$	Modular form 315.2.g.a.314.9
2-315-105.104-c1-0-1	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.244$	$0$	$0.396617$	Modular form 315.2.g.a.314.1
2-315-105.104-c1-0-10	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.0416$	$0$	$1.96816$	Modular form 315.2.g.a.314.14
2-315-105.104-c1-0-11	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.111$	$0$	$1.97577$	Modular form 315.2.g.a.314.11
2-315-105.104-c1-0-12	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.0488$	$0$	$2.00516$	Modular form 315.2.g.a.314.16
2-315-105.104-c1-0-13	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.0416$	$0$	$2.37196$	Modular form 315.2.g.a.314.13
2-315-105.104-c1-0-14	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.0488$	$0$	$2.59944$	Modular form 315.2.g.a.314.15
2-315-105.104-c1-0-15	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.455$	$0$	$2.72447$	Modular form 315.2.g.a.314.10
2-315-105.104-c1-0-2	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.259$	$0$	$0.671742$	Modular form 315.2.g.a.314.8
2-315-105.104-c1-0-3	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.0843$	$0$	$0.899558$	Modular form 315.2.g.a.314.6
2-315-105.104-c1-0-4	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.154$	$0$	$0.985339$	Modular form 315.2.g.a.314.4
2-315-105.104-c1-0-5	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.0843$	$0$	$1.25147$	Modular form 315.2.g.a.314.5
2-315-105.104-c1-0-6	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$-0.111$	$0$	$1.27326$	Modular form 315.2.g.a.314.12
2-315-105.104-c1-0-7	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.244$	$0$	$1.38304$	Modular form 315.2.g.a.314.2
2-315-105.104-c1-0-8	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.154$	$0$	$1.58502$	Modular form 315.2.g.a.314.3
2-315-105.104-c1-0-9	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.104	$1.0$	$1$	✓	✓			$0.259$	$0$	$1.91237$	Modular form 315.2.g.a.314.7
2-315-105.2-c1-0-0	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.333$	$0$	$0.443254$	Modular form 315.2.ce.a.107.16
2-315-105.2-c1-0-1	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.105$	$0$	$0.443342$	Modular form 315.2.ce.a.107.3
2-315-105.2-c1-0-10	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.231$	$0$	$1.89597$	Modular form 315.2.ce.a.107.6
2-315-105.2-c1-0-11	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.0355$	$0$	$2.09978$	Modular form 315.2.ce.a.107.11
2-315-105.2-c1-0-12	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.160$	$0$	$2.21387$	Modular form 315.2.ce.a.107.7
2-315-105.2-c1-0-13	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.423$	$0$	$2.22950$	Modular form 315.2.ce.a.107.4
2-315-105.2-c1-0-14	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.340$	$0$	$2.81534$	Modular form 315.2.ce.a.107.2
2-315-105.2-c1-0-15	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.398$	$0$	$2.83032$	Modular form 315.2.ce.a.107.5
2-315-105.2-c1-0-2	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.463$	$0$	$0.826084$	Modular form 315.2.ce.a.107.15
2-315-105.2-c1-0-3	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.137$	$0$	$0.934433$	Modular form 315.2.ce.a.107.1
2-315-105.2-c1-0-4	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.380$	$0$	$1.21680$	Modular form 315.2.ce.a.107.13
2-315-105.2-c1-0-5	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.301$	$0$	$1.48932$	Modular form 315.2.ce.a.107.14
2-315-105.2-c1-0-6	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.202$	$0$	$1.54390$	Modular form 315.2.ce.a.107.12
2-315-105.2-c1-0-7	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.0638$	$0$	$1.57281$	Modular form 315.2.ce.a.107.9
2-315-105.2-c1-0-8	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$-0.0355$	$0$	$1.59727$	Modular form 315.2.ce.a.107.10
2-315-105.2-c1-0-9	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.2	$1.0$	$1$	✓	✓			$0.132$	$0$	$1.85840$	Modular form 315.2.ce.a.107.8
2-315-105.23-c1-0-0	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.23	$1.0$	$1$	✓	✓			$0.457$	$0$	$0.0803095$	Modular form 315.2.ce.a.233.7
2-315-105.23-c1-0-1	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.23	$1.0$	$1$	✓	✓			$-0.327$	$0$	$0.499719$	Modular form 315.2.ce.a.233.11
2-315-105.23-c1-0-10	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.23	$1.0$	$1$	✓	✓			$0.230$	$0$	$1.84180$	Modular form 315.2.ce.a.233.3
2-315-105.23-c1-0-11	$1.58$	$2.51$	$2$	$3^{2} \cdot 5 \cdot 7$	105.23	$1.0$	$1$	✓	✓			$0.0346$	$0$	$1.95863$	Modular form 315.2.ce.a.233.14

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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.