LMFDB - Rational L-function search results

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Results (1-50 of 63 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-18e4-1.1-c0e2-0-0	$0.402$	$0.0261$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$0.0, 0.0$	$0$		$1$	$0$	$1.44305$	Artin representation 2.324.6t5.d Modular form 324.1.f.a
4-18e4-1.1-c0e2-0-1	$0.402$	$0.0261$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$0.0, 0.0$	$0$		$1$	$0$	$1.48700$	Modular form 324.1.f.b
4-18e4-1.1-c0e2-0-2	$0.402$	$0.0261$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$0.0, 0.0$	$0$		$1$	$0$	$1.80763$	Artin representation 2.324.6t5.c Modular form 324.1.g.a
4-18e4-1.1-c1e2-0-0	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$0.690691$	Modular form 324.2.e.a
4-18e4-1.1-c1e2-0-1	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$0.825202$	Elliptic curve 2.0.3.1-11664.1-CMc Elliptic curve 2.0.3.1-11664.1-CMd Modular form 324.2.e.b
4-18e4-1.1-c1e2-0-2	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.897081$	Genus 2 curve 104976.b
4-18e4-1.1-c1e2-0-3	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$0.957563$	Modular form 324.2.e.d
4-18e4-1.1-c1e2-0-4	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$1.18259$	Elliptic curve 2.0.3.1-11664.1-CMa Elliptic curve 2.0.3.1-11664.1-CMb Modular form 324.2.e.c
4-18e4-1.1-c1e2-0-5	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$		$1$	$0$	$1.33745$	Bianchi modular form 2.0.3.1-11664.1-b Elliptic curve 2.0.3.1-11664.1-b
4-18e4-1.1-c1e2-0-6	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.46187$	Elliptic curve 2.2.12.1-729.1-a Elliptic curve 2.2.12.1-729.1-b Hilbert modular form 2.2.12.1-729.1-a Hilbert modular form 2.2.12.1-729.1-b
4-18e4-1.1-c1e2-0-7	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.50152$	Genus 2 curve 104976.a
4-18e4-1.1-c1e2-0-8	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$		$-1$	$1$	$1.61468$	Bianchi modular form 2.0.3.1-11664.1-a Elliptic curve 2.0.3.1-11664.1-a
4-18e4-1.1-c1e2-0-9	$1.60$	$6.69$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$1.0, 1.0$	$1$		$-1$	$1$	$2.19109$	Genus 2 curve 104976.c
4-18e4-1.1-c2e2-0-0	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.0897932$	Modular form 324.3.d.c
4-18e4-1.1-c2e2-0-1	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.129255$	Modular form 324.3.f.g
4-18e4-1.1-c2e2-0-10	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.764848$	Modular form 324.3.f.e
4-18e4-1.1-c2e2-0-11	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.857693$	Modular form 324.3.g.b
4-18e4-1.1-c2e2-0-12	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.933804$	Modular form 324.3.f.a
4-18e4-1.1-c2e2-0-13	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$1.06553$	Modular form 324.3.f.h
4-18e4-1.1-c2e2-0-14	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$1.49738$	Modular form 324.3.f.j
4-18e4-1.1-c2e2-0-15	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$1.54425$	Modular form 324.3.d.d
4-18e4-1.1-c2e2-0-2	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.130900$	Modular form 324.3.g.a
4-18e4-1.1-c2e2-0-3	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.200693$	Modular form 324.3.f.c
4-18e4-1.1-c2e2-0-4	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.348512$	Modular form 324.3.f.b
4-18e4-1.1-c2e2-0-5	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.379191$	Modular form 324.3.f.f
4-18e4-1.1-c2e2-0-6	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.497195$	Modular form 324.3.d.b
4-18e4-1.1-c2e2-0-7	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.689143$	Modular form 324.3.f.d
4-18e4-1.1-c2e2-0-8	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.720849$	Modular form 324.3.d.a
4-18e4-1.1-c2e2-0-9	$2.97$	$77.9$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$2.0, 2.0$	$2$		$1$	$0$	$0.761114$	Modular form 324.3.f.i
4-18e4-1.1-c3e2-0-0	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$0.381519$	Modular form 324.4.e.d
4-18e4-1.1-c3e2-0-1	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$0.490588$	Modular form 324.4.e.h
4-18e4-1.1-c3e2-0-2	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$0.492492$	Modular form 324.4.e.c
4-18e4-1.1-c3e2-0-3	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$0.597170$	Modular form 324.4.e.f
4-18e4-1.1-c3e2-0-4	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$0.599668$	Modular form 324.4.e.e
4-18e4-1.1-c3e2-0-5	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$0.774020$	Modular form 324.4.e.b
4-18e4-1.1-c3e2-0-6	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$0$	$1.01734$	Modular form 324.4.e.g
4-18e4-1.1-c3e2-0-7	$4.37$	$365.$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$3.0, 3.0$	$3$		$1$	$2$	$1.45726$	Modular form 324.4.e.a
4-18e4-1.1-c4e2-0-0	$5.78$	$1.12\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$4.0, 4.0$	$4$		$1$	$0$	$0.430993$	Modular form 324.5.g.b
4-18e4-1.1-c4e2-0-1	$5.78$	$1.12\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$4.0, 4.0$	$4$		$1$	$0$	$0.482165$	Modular form 324.5.d.a
4-18e4-1.1-c4e2-0-2	$5.78$	$1.12\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$4.0, 4.0$	$4$		$1$	$0$	$0.784419$	Modular form 324.5.g.a
4-18e4-1.1-c4e2-0-3	$5.78$	$1.12\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$4.0, 4.0$	$4$		$1$	$0$	$0.947670$	Modular form 324.5.d.b
4-18e4-1.1-c5e2-0-0	$7.20$	$2.70\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$5.0, 5.0$	$5$		$1$	$0$	$0.428240$	Modular form 324.6.e.b
4-18e4-1.1-c5e2-0-1	$7.20$	$2.70\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$5.0, 5.0$	$5$		$1$	$0$	$0.443452$	Modular form 324.6.e.c
4-18e4-1.1-c5e2-0-2	$7.20$	$2.70\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$5.0, 5.0$	$5$		$1$	$0$	$0.684811$	Modular form 324.6.e.a
4-18e4-1.1-c5e2-0-3	$7.20$	$2.70\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$5.0, 5.0$	$5$		$1$	$0$	$0.687637$	Modular form 324.6.e.d
4-18e4-1.1-c6e2-0-0	$8.63$	$5.55\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$6.0, 6.0$	$6$		$1$	$0$	$0.116104$	Modular form 324.7.g.b
4-18e4-1.1-c6e2-0-1	$8.63$	$5.55\times 10^{3}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$6.0, 6.0$	$6$		$1$	$0$	$0.325653$	Modular form 324.7.g.a
4-18e4-1.1-c7e2-0-0	$10.0$	$1.02\times 10^{4}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$7.0, 7.0$	$7$		$1$	$0$	$0.0541041$	Modular form 324.8.e.b
4-18e4-1.1-c7e2-0-1	$10.0$	$1.02\times 10^{4}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$7.0, 7.0$	$7$		$1$	$0$	$0.165431$	Modular form 324.8.e.c
4-18e4-1.1-c7e2-0-2	$10.0$	$1.02\times 10^{4}$	$4$	$2^{4} \cdot 3^{8}$	1.1	$$	$7.0, 7.0$	$7$		$1$	$0$	$0.194449$	Modular form 324.8.e.f

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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.