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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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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-812-203.115-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.115	$0.0$	0	✓	✓			$-0.186$	$0$	$0.883678$	Modular form 812.1.o.a.521.1
2-812-203.128-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.128	$0.0$	0	✓	✓			$0.292$	$0$	$2.21535$	Modular form 812.1.x.a.737.1
2-812-203.173-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.173	$0.0$	0	✓	✓			$0.186$	$0$	$1.79953$	Modular form 812.1.o.a.173.1
2-812-203.186-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.186	$0.0$	0	✓	✓			$0.146$	$0$	$1.68873$	Modular form 812.1.x.a.389.1
2-812-203.191-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.191	$0.0$	0	✓	✓			$-0.146$	$0$	$0.880105$	Modular form 812.1.x.a.597.1
2-812-203.202-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.202	$0.0$	0	✓	✓		✓	$0$	$0$	$0.982292$	Modular form 812.1.g.c.405.1
2-812-203.202-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.202	$0.0$	0	✓	✓	✓	✓	$0$	$0$	$1.26433$	Artin representation 2.812.3t2.a Artin representation 2.812.3t2.a.a Modular form 812.1.g.a Modular form 812.1.g.a.405.1
2-812-203.202-c0-0-2	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.202	$0.0$	0	✓	✓	✓	✓	$0$	$0$	$1.83906$	Artin representation 2.812.6t3.a Artin representation 2.812.6t3.a.a Modular form 812.1.g.b Modular form 812.1.g.b.405.1
2-812-203.202-c0-0-3	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.202	$0.0$	0	✓	✓		✓	$0$	$0$	$1.94871$	Modular form 812.1.g.c.405.2
2-812-203.46-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	203.46	$0.0$	0	✓	✓			$-0.292$	$0$	$1.04751$	Modular form 812.1.x.a.249.1
2-812-812.195-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.195	$0.0$	0	✓	✓			$-0.472$	$0$	$0.439152$	Modular form 812.1.bi.b.195.1
2-812-812.195-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.195	$0.0$	0	✓	✓			$-0.0439$	$0$	$1.70342$	Modular form 812.1.bi.a.195.1
2-812-812.251-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.251	$0.0$	0	✓	✓			$-0.0860$	$0$	$1.10607$	Modular form 812.1.bi.b.251.1
2-812-812.251-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.251	$0.0$	0	✓	✓			$0.199$	$0$	$1.92457$	Modular form 812.1.bi.a.251.1
2-812-812.27-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.27	$0.0$	0	✓	✓			$-0.101$	$0$	$1.24935$	Modular form 812.1.bi.a.27.1
2-812-812.27-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.27	$0.0$	0	✓	✓			$-0.243$	$0$	$1.29284$	Modular form 812.1.bi.b.27.1
2-812-812.279-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.279	$0.0$	0	✓	✓			$0.0439$	$0$	$1.08282$	Modular form 812.1.bi.a.279.1
2-812-812.279-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.279	$0.0$	0	✓	✓			$0.472$	$0$	$2.12261$	Modular form 812.1.bi.b.279.1
2-812-812.307-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.307	$0.0$	0	✓	✓			$0.0302$	$0$	$1.04313$	Modular form 812.1.l.a.307.1
2-812-812.307-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.307	$0.0$	0	✓	✓			$-0.344$	$0$	$1.16408$	Modular form 812.1.l.d.307.2
2-812-812.307-c0-0-2	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.307	$0.0$	0	✓	✓			$0.405$	$0$	$1.49635$	Modular form 812.1.l.c.307.1
2-812-812.307-c0-0-3	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.307	$0.0$	0	✓	✓			$0.155$	$0$	$1.66171$	Modular form 812.1.l.d.307.1
2-812-812.307-c0-0-4	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.307	$0.0$	0	✓	✓			$-0.0947$	$0$	$1.73048$	Modular form 812.1.l.c.307.2
2-812-812.307-c0-0-5	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.307	$0.0$	0	✓	✓			$0.0302$	$0$	$2.09785$	Modular form 812.1.l.b.307.1
2-812-812.363-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.363	$0.0$	0	✓	✓			$-0.229$	$0$	$0.533873$	Modular form 812.1.bi.a.363.1
2-812-812.363-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.363	$0.0$	0	✓	✓			$-0.0864$	$0$	$1.37438$	Modular form 812.1.bi.b.363.1
2-812-812.391-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.391	$0.0$	0	✓	✓			$0.101$	$0$	$1.49139$	Modular form 812.1.bi.a.391.1
2-812-812.391-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.391	$0.0$	0	✓	✓			$0.243$	$0$	$2.30154$	Modular form 812.1.bi.b.391.1
2-812-812.447-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.447	$0.0$	0	✓	✓			$-0.405$	$0$	$0.121428$	Modular form 812.1.l.c.447.1
2-812-812.447-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.447	$0.0$	0	✓	✓			$-0.155$	$0$	$1.75893$	Modular form 812.1.l.d.447.1
2-812-812.447-c0-0-2	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.447	$0.0$	0	✓	✓			$-0.0302$	$0$	$1.79916$	Modular form 812.1.l.b.447.1
2-812-812.447-c0-0-3	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.447	$0.0$	0	✓	✓			$-0.0302$	$0$	$1.82977$	Modular form 812.1.l.a.447.1
2-812-812.447-c0-0-4	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.447	$0.0$	0	✓	✓			$0.0947$	$0$	$1.89232$	Modular form 812.1.l.c.447.2
2-812-812.447-c0-0-5	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.447	$0.0$	0	✓	✓			$0.344$	$0$	$2.31772$	Modular form 812.1.l.d.447.2
2-812-812.475-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.475	$0.0$	0	✓	✓			$-0.280$	$0$	$1.28193$	Modular form 812.1.bi.b.475.1
2-812-812.475-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.475	$0.0$	0	✓	✓			$0.290$	$0$	$1.71080$	Modular form 812.1.bi.a.475.1
2-812-812.503-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.503	$0.0$	0	✓	✓			$0.0516$	$0$	$1.97554$	Modular form 812.1.bi.b.503.1
2-812-812.503-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.503	$0.0$	0	✓	✓			$0.337$	$0$	$2.51936$	Modular form 812.1.bi.a.503.1
2-812-812.55-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.55	$0.0$	0	✓	✓			$0.0860$	$0$	$1.43393$	Modular form 812.1.bi.b.55.1
2-812-812.55-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.55	$0.0$	0	✓	✓			$-0.199$	$0$	$1.50819$	Modular form 812.1.bi.a.55.1
2-812-812.559-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.559	$0.0$	0	✓	✓			$-0.290$	$0$	$1.01471$	Modular form 812.1.bi.a.559.1
2-812-812.559-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.559	$0.0$	0	✓	✓			$0.280$	$0$	$2.07800$	Modular form 812.1.bi.b.559.1
2-812-812.699-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.699	$0.0$	0	✓	✓			$-0.337$	$0$	$1.03977$	Modular form 812.1.bi.a.699.1
2-812-812.699-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.699	$0.0$	0	✓	✓			$-0.0516$	$0$	$1.88089$	Modular form 812.1.bi.b.699.1
2-812-812.727-c0-0-0	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.727	$0.0$	0	✓	✓			$0.0864$	$0$	$1.34793$	Modular form 812.1.bi.b.727.1
2-812-812.727-c0-0-1	$0.636$	$0.405$	$2$	$2^{2} \cdot 7 \cdot 29$	812.727	$0.0$	0	✓	✓			$0.229$	$0$	$1.91316$	Modular form 812.1.bi.a.727.1
2-812-1.1-c1-0-0	$2.54$	$6.48$	$2$	$2^{2} \cdot 7 \cdot 29$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.450573$	Modular form 812.2.a.e.1.1
2-812-1.1-c1-0-1	$2.54$	$6.48$	$2$	$2^{2} \cdot 7 \cdot 29$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.702130$	Modular form 812.2.a.c.1.1
2-812-1.1-c1-0-10	$2.54$	$6.48$	$2$	$2^{2} \cdot 7 \cdot 29$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.88392$	Modular form 812.2.a.d.1.2
2-812-1.1-c1-0-11	$2.54$	$6.48$	$2$	$2^{2} \cdot 7 \cdot 29$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.89240$	Modular form 812.2.a.e.1.6

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Classical	Maass
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Elliptic curves over $\Q$
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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.