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 24123388 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1-1.1-r0-0-0	$0.00464$	$0.00464$	$1$	$1$	1.1	$$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$14.1347$	Artin representation 1.1.1t1.a Artin representation 1.1.1t1.a.a Number field $\Q$
1-5-5.4-r0-0-0	$0.0232$	$0.0232$	$1$	$5$	5.4	$0$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$6.64845$
1-7-7.2-r0-0-0	$0.0325$	$0.0325$	$1$	$7$	7.2	$0$	$$	$0$	✓	✓			$-0.0732$	$0$	$4.35640$
1-7-7.4-r0-0-0	$0.0325$	$0.0325$	$1$	$7$	7.4	$0$	$$	$0$	✓	✓			$0.0732$	$0$	$6.20123$
1-2e3-8.5-r0-0-0	$0.0371$	$0.0371$	$1$	$2^{3}$	8.5	$0$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$4.89997$
1-3e2-9.4-r0-0-0	$0.0417$	$0.0417$	$1$	$3^{2}$	9.4	$0$	$$	$0$	✓	✓			$0.111$	$0$	$5.31957$
1-3e2-9.7-r0-0-0	$0.0417$	$0.0417$	$1$	$3^{2}$	9.7	$0$	$$	$0$	✓	✓			$-0.111$	$0$	$3.44409$
1-11-11.3-r0-0-0	$0.0510$	$0.0510$	$1$	$11$	11.3	$0$	$$	$0$	✓	✓			$-0.103$	$0$	$3.61004$
1-11-11.4-r0-0-0	$0.0510$	$0.0510$	$1$	$11$	11.4	$0$	$$	$0$	✓	✓			$0.103$	$0$	$5.13369$
1-11-11.5-r0-0-0	$0.0510$	$0.0510$	$1$	$11$	11.5	$0$	$$	$0$	✓	✓			$0.142$	$0$	$4.62935$
1-11-11.9-r0-0-0	$0.0510$	$0.0510$	$1$	$11$	11.9	$0$	$$	$0$	✓	✓			$-0.142$	$0$	$2.69600$
1-12-12.11-r0-0-0	$0.0557$	$0.0557$	$1$	$2^{2} \cdot 3$	12.11	$0$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$3.80462$
1-13-13.10-r0-0-0	$0.0603$	$0.0603$	$1$	$13$	13.10	$0$	$$	$0$	✓	✓			$-0.0853$	$0$	$3.66097$
1-13-13.12-r0-0-0	$0.0603$	$0.0603$	$1$	$13$	13.12	$0$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$3.11934$
1-13-13.3-r0-0-0	$0.0603$	$0.0603$	$1$	$13$	13.3	$0$	$$	$0$	✓	✓			$0.209$	$0$	$4.93859$
1-13-13.4-r0-0-0	$0.0603$	$0.0603$	$1$	$13$	13.4	$0$	$$	$0$	✓	✓			$0.0853$	$0$	$4.45485$
1-13-13.9-r0-0-0	$0.0603$	$0.0603$	$1$	$13$	13.9	$0$	$$	$0$	✓	✓			$-0.209$	$0$	$2.27313$
1-15-15.2-r0-0-0	$0.0696$	$0.0696$	$1$	$3 \cdot 5$	15.2	$0$	$$	$0$	✓	✓			$-0.161$	$0$	$2.73460$
1-15-15.8-r0-0-0	$0.0696$	$0.0696$	$1$	$3 \cdot 5$	15.8	$0$	$$	$0$	✓	✓			$0.161$	$0$	$4.40670$
1-2e4-16.13-r0-0-0	$0.0743$	$0.0743$	$1$	$2^{4}$	16.13	$0$	$$	$0$	✓	✓			$0.0625$	$0$	$3.77219$
1-2e4-16.5-r0-0-0	$0.0743$	$0.0743$	$1$	$2^{4}$	16.5	$0$	$$	$0$	✓	✓			$-0.0625$	$0$	$2.84244$
1-17-17.13-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.13	$0$	$$	$0$	✓	✓			$0.144$	$0$	$3.38764$
1-17-17.15-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.15	$0$	$$	$0$	✓	✓			$0.237$	$0$	$4.85147$
1-17-17.16-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.16	$0$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$3.72814$
1-17-17.2-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.2	$0$	$$	$0$	✓	✓			$0.117$	$0$	$3.73234$
1-17-17.4-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.4	$0$	$$	$0$	✓	✓			$-0.144$	$0$	$1.89456$
1-17-17.8-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.8	$0$	$$	$0$	✓	✓			$-0.237$	$0$	$2.12217$
1-17-17.9-r0-0-0	$0.0789$	$0.0789$	$1$	$17$	17.9	$0$	$$	$0$	✓	✓			$-0.117$	$0$	$3.03085$
1-19-19.11-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.11	$0$	$$	$0$	✓	✓			$-0.299$	$0$	$1.57320$
1-19-19.16-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.16	$0$	$$	$0$	✓	✓			$0.113$	$0$	$3.63715$
1-19-19.17-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.17	$0$	$$	$0$	✓	✓			$0.0530$	$0$	$2.87454$
1-19-19.4-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.4	$0$	$$	$0$	✓	✓			$0.132$	$0$	$4.27062$
1-19-19.5-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.5	$0$	$$	$0$	✓	✓			$-0.132$	$0$	$2.73327$
1-19-19.6-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.6	$0$	$$	$0$	✓	✓			$-0.113$	$0$	$3.09878$
1-19-19.7-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.7	$0$	$$	$0$	✓	✓			$0.299$	$0$	$4.40883$
1-19-19.9-r0-0-0	$0.0882$	$0.0882$	$1$	$19$	19.9	$0$	$$	$0$	✓	✓			$-0.0530$	$0$	$2.13818$
1-20-20.3-r0-0-0	$0.0928$	$0.0928$	$1$	$2^{2} \cdot 5$	20.3	$0$	$$	$0$	✓	✓			$-0.0881$	$0$	$2.43970$
1-20-20.7-r0-0-0	$0.0928$	$0.0928$	$1$	$2^{2} \cdot 5$	20.7	$0$	$$	$0$	✓	✓			$0.0881$	$0$	$3.53109$
1-21-21.17-r0-0-0	$0.0975$	$0.0975$	$1$	$3 \cdot 7$	21.17	$0$	$$	$0$	✓	✓			$-0.146$	$0$	$2.71366$
1-21-21.20-r0-0-0	$0.0975$	$0.0975$	$1$	$3 \cdot 7$	21.20	$0$	$$	$0$	✓	✓	✓	✓	$0$	$0$	$2.31518$
1-21-21.5-r0-0-0	$0.0975$	$0.0975$	$1$	$3 \cdot 7$	21.5	$0$	$$	$0$	✓	✓			$0.146$	$0$	$3.93679$
1-23-23.12-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.12	$0$	$$	$0$	✓	✓			$-0.233$	$0$	$1.96977$
1-23-23.13-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.13	$0$	$$	$0$	✓	✓			$0.248$	$0$	$4.12168$
1-23-23.16-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.16	$0$	$$	$0$	✓	✓			$-0.248$	$0$	$2.04476$
1-23-23.18-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.18	$0$	$$	$0$	✓	✓			$0.0263$	$0$	$3.18006$
1-23-23.2-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.2	$0$	$$	$0$	✓	✓			$0.233$	$0$	$4.10757$
1-23-23.3-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.3	$0$	$$	$0$	✓	✓			$-0.187$	$0$	$1.27653$
1-23-23.4-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.4	$0$	$$	$0$	✓	✓			$0.0869$	$0$	$2.69506$
1-23-23.6-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.6	$0$	$$	$0$	✓	✓			$-0.0869$	$0$	$2.47039$
1-23-23.8-r0-0-0	$0.106$	$0.106$	$1$	$23$	23.8	$0$	$$	$0$	✓	✓			$0.187$	$0$	$3.01197$

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Elliptic curves over $\Q$
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Results (1-50 of 24123388 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.