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 775 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1045-1045.18-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.18	$$	$0.0$	$0$	✓	✓	$-0.400$	$0$	$0.476785$	Modular form 1045.1.br.b.18.1
2-1045-1045.18-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.18	$$	$0.0$	$0$	✓	✓	$-0.000829$	$0$	$1.09912$	Modular form 1045.1.br.a.18.1
2-1045-1045.208-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.208	$$	$0.0$	$0$	✓	✓	$-0.411$	$0$	$0.868387$	Modular form 1045.1.k.a.208.1
2-1045-1045.208-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.208	$$	$0.0$	$0$	✓	✓	$-0.161$	$0$	$1.12172$	Modular form 1045.1.k.b.208.1
2-1045-1045.208-c0-0-2	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.208	$$	$0.0$	$0$	✓	✓	$-0.161$	$0$	$1.38647$	Modular form 1045.1.k.c.208.1
2-1045-1045.208-c0-0-3	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.208	$$	$0.0$	$0$	✓	✓	$0.0881$	$0$	$1.50623$	Modular form 1045.1.k.d.208.1
2-1045-1045.227-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.227	$$	$0.0$	$0$	✓	✓	$-0.0770$	$0$	$1.32945$	Modular form 1045.1.br.b.227.1
2-1045-1045.227-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.227	$$	$0.0$	$0$	✓	✓	$0.322$	$0$	$2.27400$	Modular form 1045.1.br.a.227.1
2-1045-1045.284-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$0.342$	$0$	$0.574022$	Modular form 1045.1.w.a.284.1
2-1045-1045.284-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$-0.157$	$0$	$0.776105$	Modular form 1045.1.w.e.284.2
2-1045-1045.284-c0-0-2	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$-0.407$	$0$	$0.812487$	Modular form 1045.1.w.f.284.1
2-1045-1045.284-c0-0-3	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$-0.157$	$0$	$1.01794$	Modular form 1045.1.w.b.284.1
2-1045-1045.284-c0-0-4	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$0.0927$	$0$	$1.51047$	Modular form 1045.1.w.f.284.3
2-1045-1045.284-c0-0-5	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$-0.157$	$0$	$1.67847$	Modular form 1045.1.w.e.284.1
2-1045-1045.284-c0-0-6	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$0.0427$	$0$	$1.87194$	Modular form 1045.1.w.c.284.1
2-1045-1045.284-c0-0-7	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$0.342$	$0$	$1.97652$	Modular form 1045.1.w.d.284.1
2-1045-1045.284-c0-0-8	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$0.0927$	$0$	$2.20755$	Modular form 1045.1.w.f.284.2
2-1045-1045.284-c0-0-9	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.284	$$	$0.0$	$0$	✓	✓	$-0.407$	$0$	$3.19288$	Modular form 1045.1.w.f.284.4
2-1045-1045.303-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.303	$$	$0.0$	$0$	✓	✓	$-0.315$	$0$	$0.364205$	Modular form 1045.1.br.b.303.1
2-1045-1045.303-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.303	$$	$0.0$	$0$	✓	✓	$0.484$	$0$	$2.31498$	Modular form 1045.1.br.a.303.1
2-1045-1045.379-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$-0.0927$	$0$	$0.850581$	Modular form 1045.1.w.f.379.3
2-1045-1045.379-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$0.407$	$0$	$1.09518$	Modular form 1045.1.w.f.379.1
2-1045-1045.379-c0-0-2	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$0.407$	$0$	$1.14336$	Modular form 1045.1.w.f.379.4
2-1045-1045.379-c0-0-3	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$-0.342$	$0$	$1.43910$	Modular form 1045.1.w.d.379.1
2-1045-1045.379-c0-0-4	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$-0.0427$	$0$	$1.53864$	Modular form 1045.1.w.c.379.1
2-1045-1045.379-c0-0-5	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$-0.0927$	$0$	$1.66268$	Modular form 1045.1.w.f.379.2
2-1045-1045.379-c0-0-6	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$0.157$	$0$	$1.79350$	Modular form 1045.1.w.b.379.1
2-1045-1045.379-c0-0-7	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$0.157$	$0$	$1.83058$	Modular form 1045.1.w.e.379.2
2-1045-1045.379-c0-0-8	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$0.157$	$0$	$1.97159$	Modular form 1045.1.w.e.379.1
2-1045-1045.379-c0-0-9	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.379	$$	$0.0$	$0$	✓	✓	$-0.342$	$0$	$2.26130$	Modular form 1045.1.w.a.379.1
2-1045-1045.398-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.398	$$	$0.0$	$0$	✓	✓	$-0.00839$	$0$	$1.30790$	Modular form 1045.1.br.b.398.1
2-1045-1045.398-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.398	$$	$0.0$	$0$	✓	✓	$0.191$	$0$	$2.21840$	Modular form 1045.1.br.a.398.1
2-1045-1045.417-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.417	$$	$0.0$	$0$	✓	✓	$0.411$	$0$	$1.75206$	Modular form 1045.1.k.a.417.1
2-1045-1045.417-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.417	$$	$0.0$	$0$	✓	✓	$0.161$	$0$	$1.86659$	Modular form 1045.1.k.b.417.1
2-1045-1045.417-c0-0-2	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.417	$$	$0.0$	$0$	✓	✓	$-0.0881$	$0$	$1.98953$	Modular form 1045.1.k.d.417.1
2-1045-1045.417-c0-0-3	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.417	$$	$0.0$	$0$	✓	✓	$0.161$	$0$	$2.24463$	Modular form 1045.1.k.c.417.1
2-1045-1045.512-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.512	$$	$0.0$	$0$	✓	✓	$-0.191$	$0$	$1.26592$	Modular form 1045.1.br.a.512.1
2-1045-1045.512-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.512	$$	$0.0$	$0$	✓	✓	$0.00839$	$0$	$1.64033$	Modular form 1045.1.br.b.512.1
2-1045-1045.607-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.607	$$	$0.0$	$0$	✓	✓	$-0.484$	$0$	$0.0831505$	Modular form 1045.1.br.a.607.1
2-1045-1045.607-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.607	$$	$0.0$	$0$	✓	✓	$0.315$	$0$	$1.88880$	Modular form 1045.1.br.b.607.1
2-1045-1045.664-c0-0-0	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$-0.203$	$0$	$0.729785$	Modular form 1045.1.w.b.664.1
2-1045-1045.664-c0-0-1	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$-0.203$	$0$	$0.773204$	Modular form 1045.1.w.e.664.1
2-1045-1045.664-c0-0-2	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$0.0462$	$0$	$1.12502$	Modular form 1045.1.w.f.664.2
2-1045-1045.664-c0-0-3	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$0.296$	$0$	$1.47472$	Modular form 1045.1.w.a.664.1
2-1045-1045.664-c0-0-4	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$-0.453$	$0$	$1.52602$	Modular form 1045.1.w.f.664.4
2-1045-1045.664-c0-0-5	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$-0.203$	$0$	$1.63417$	Modular form 1045.1.w.e.664.2
2-1045-1045.664-c0-0-6	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$0.196$	$0$	$1.79974$	Modular form 1045.1.w.c.664.1
2-1045-1045.664-c0-0-7	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$0.0462$	$0$	$2.11020$	Modular form 1045.1.w.f.664.3
2-1045-1045.664-c0-0-8	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$-0.453$	$0$	$2.12808$	Modular form 1045.1.w.f.664.1
2-1045-1045.664-c0-0-9	$0.722$	$0.521$	$2$	$5 \cdot 11 \cdot 19$	1045.664	$$	$0.0$	$0$	✓	✓	$0.296$	$0$	$2.46250$	Modular form 1045.1.w.d.664.1

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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.