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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 (30 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
2-931-133.18-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.18	$0.0$	✓	✓			$0.146$	$0$	$1.66431$	Modular form 931.1.r.a.18.1
2-931-133.26-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.26	$0.0$	✓	✓			$-0.142$	$0$	$1.52381$	Modular form 931.1.t.a.558.2
2-931-133.26-c0-0-1	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.26	$0.0$	✓	✓			$0.357$	$0$	$2.48570$	Modular form 931.1.t.a.558.1
2-931-133.37-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.37	$0.0$	✓	✓			$-0.146$	$0$	$0.846219$	Modular form 931.1.r.a.569.1
2-931-133.45-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.45	$0.0$	✓	✓			$-0.456$	$0$	$1.05998$	Modular form 931.1.k.a.178.2
2-931-133.45-c0-0-1	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.45	$0.0$	✓	✓			$0.0439$	$0$	$1.46401$	Modular form 931.1.k.a.178.1
2-931-133.68-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.68	$0.0$	✓	✓			$-0.0439$	$0$	$0.948575$	Modular form 931.1.k.a.68.2
2-931-133.68-c0-0-1	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.68	$0.0$	✓	✓			$0.456$	$0$	$2.30048$	Modular form 931.1.k.a.68.1
2-931-133.87-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.87	$0.0$	✓	✓			$-0.357$	$0$	$0.634977$	Modular form 931.1.t.a.619.1
2-931-133.87-c0-0-1	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	133.87	$0.0$	✓	✓			$0.142$	$0$	$2.40581$	Modular form 931.1.t.a.619.2
2-931-19.18-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	19.18	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.48845$	Artin representation 2.931.3t2.b Artin representation 2.931.3t2.b.a Modular form 931.1.b.a Modular form 931.1.b.a.246.1
2-931-19.18-c0-0-1	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	19.18	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.93189$	Artin representation 2.931.6t3.b Artin representation 2.931.6t3.b.a Modular form 931.1.b.b Modular form 931.1.b.b.246.1
2-931-931.113-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.113	$0.0$	✓	✓			$0.102$	$0$	$1.37331$	Modular form 931.1.ba.a.113.1
2-931-931.151-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.151	$0.0$	✓	✓			$-0.0612$	$0$	$1.69802$	Modular form 931.1.bq.a.151.1
2-931-931.170-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.170	$0.0$	✓	✓			$-0.0612$	$0$	$1.31187$	Modular form 931.1.bq.a.170.1
2-931-931.284-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.284	$0.0$	✓	✓			$-0.170$	$0$	$1.41498$	Modular form 931.1.bq.a.284.1
2-931-931.303-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.303	$0.0$	✓	✓			$-0.231$	$0$	$1.04169$	Modular form 931.1.bq.a.303.1
2-931-931.37-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.37	$0.0$	✓	✓			$0.0612$	$0$	$1.80208$	Modular form 931.1.bq.a.37.1
2-931-931.379-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.379	$0.0$	✓	✓			$-0.102$	$0$	$0.881616$	Modular form 931.1.ba.a.379.1
2-931-931.417-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.417	$0.0$	✓	✓			$0.435$	$0$	$2.60488$	Modular form 931.1.bq.a.417.1
2-931-931.436-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.436	$0.0$	✓	✓			$0.170$	$0$	$2.20921$	Modular form 931.1.bq.a.436.1
2-931-931.512-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.512	$0.0$	✓	✓			$-0.0612$	$0$	$1.29894$	Modular form 931.1.ba.a.512.1
2-931-931.550-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.550	$0.0$	✓	✓			$0.231$	$0$	$2.27404$	Modular form 931.1.bq.a.550.1
2-931-931.645-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.645	$0.0$	✓	✓			$-0.163$	$0$	$1.09517$	Modular form 931.1.ba.a.645.1
2-931-931.683-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.683	$0.0$	✓	✓			$-0.496$	$0$	$2.50281$	Modular form 931.1.bq.a.683.1
2-931-931.702-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.702	$0.0$	✓	✓			$0.496$	$0$	$0.187011$	Modular form 931.1.bq.a.702.1
2-931-931.778-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.778	$0.0$	✓	✓			$0.163$	$0$	$1.79154$	Modular form 931.1.ba.a.778.1
2-931-931.816-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.816	$0.0$	✓	✓			$0.0612$	$0$	$1.52544$	Modular form 931.1.bq.a.816.1
2-931-931.835-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.835	$0.0$	✓	✓			$-0.435$	$0$	$0.284539$	Modular form 931.1.bq.a.835.1
2-931-931.911-c0-0-0	$0.681$	$0.464$	$2$	$7^{2} \cdot 19$	931.911	$0.0$	✓	✓			$0.0612$	$0$	$1.67638$	Modular form 931.1.ba.a.911.1

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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.