LMFDB - Rational L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

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Results (44 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-576000-1.1-c1e2-0-0	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.350676$	Elliptic curve 2.2.24.1-1000.1-p Elliptic curve 2.2.24.1-1000.2-p Hilbert modular form 2.2.24.1-1000.1-p Hilbert modular form 2.2.24.1-1000.2-p
4-576000-1.1-c1e2-0-1	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.537780$	Elliptic curve 2.2.24.1-1000.1-m Elliptic curve 2.2.24.1-1000.2-m Hilbert modular form 2.2.24.1-1000.1-m Hilbert modular form 2.2.24.1-1000.2-m
4-576000-1.1-c1e2-0-10	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.786972$	Bianchi modular form 2.0.4.1-36000.2-e Bianchi modular form 2.0.4.1-36000.3-d Elliptic curve 2.0.4.1-36000.2-e Elliptic curve 2.0.4.1-36000.3-d
4-576000-1.1-c1e2-0-11	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.815616$	Bianchi modular form 2.0.4.1-36000.2-f Bianchi modular form 2.0.4.1-36000.3-e Elliptic curve 2.0.4.1-36000.2-f Elliptic curve 2.0.4.1-36000.3-e
4-576000-1.1-c1e2-0-12	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.839028$	Bianchi modular form 2.0.4.1-36000.2-i Bianchi modular form 2.0.4.1-36000.3-i Elliptic curve 2.0.4.1-36000.2-i Elliptic curve 2.0.4.1-36000.3-i
4-576000-1.1-c1e2-0-13	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.886509$	Elliptic curve 2.2.24.1-1000.1-e Elliptic curve 2.2.24.1-1000.2-e Hilbert modular form 2.2.24.1-1000.1-e Hilbert modular form 2.2.24.1-1000.2-e
4-576000-1.1-c1e2-0-14	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.890013$	Elliptic curve 2.2.40.1-360.1-c Elliptic curve 2.2.40.1-360.1-n Hilbert modular form 2.2.40.1-360.1-c Hilbert modular form 2.2.40.1-360.1-n
4-576000-1.1-c1e2-0-15	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.902928$	Bianchi modular form 2.0.4.1-36000.2-k Bianchi modular form 2.0.4.1-36000.3-k Elliptic curve 2.0.4.1-36000.2-k Elliptic curve 2.0.4.1-36000.3-k
4-576000-1.1-c1e2-0-16	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.956846$	Elliptic curve 2.2.24.1-1000.1-a Elliptic curve 2.2.24.1-1000.2-a Hilbert modular form 2.2.24.1-1000.1-a Hilbert modular form 2.2.24.1-1000.2-a
4-576000-1.1-c1e2-0-17	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.975516$	Elliptic curve 2.2.24.1-1000.1-n Elliptic curve 2.2.24.1-1000.2-n Hilbert modular form 2.2.24.1-1000.1-n Hilbert modular form 2.2.24.1-1000.2-n
4-576000-1.1-c1e2-0-18	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.989067$	Elliptic curve 2.2.40.1-360.1-l Hilbert modular form 2.2.40.1-360.1-l
4-576000-1.1-c1e2-0-19	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.994849$	Elliptic curve 2.2.24.1-1000.1-k Elliptic curve 2.2.24.1-1000.2-k Hilbert modular form 2.2.24.1-1000.1-k Hilbert modular form 2.2.24.1-1000.2-k
4-576000-1.1-c1e2-0-2	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.559687$	Elliptic curve 2.2.40.1-360.1-a Elliptic curve 2.2.40.1-360.1-i Hilbert modular form 2.2.40.1-360.1-a Hilbert modular form 2.2.40.1-360.1-i
4-576000-1.1-c1e2-0-20	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.03047$	Elliptic curve 2.2.60.1-160.1-e Elliptic curve 2.2.60.1-160.1-g Hilbert modular form 2.2.60.1-160.1-e Hilbert modular form 2.2.60.1-160.1-g
4-576000-1.1-c1e2-0-21	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.04473$	Elliptic curve 2.2.24.1-1000.1-b Elliptic curve 2.2.24.1-1000.2-b Hilbert modular form 2.2.24.1-1000.1-b Hilbert modular form 2.2.24.1-1000.2-b
4-576000-1.1-c1e2-0-22	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.07905$	Bianchi modular form 2.0.4.1-36000.2-a Bianchi modular form 2.0.4.1-36000.3-a Elliptic curve 2.0.4.1-36000.2-a Elliptic curve 2.0.4.1-36000.3-a
4-576000-1.1-c1e2-0-23	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.09686$	Elliptic curve 2.2.40.1-360.1-p Hilbert modular form 2.2.40.1-360.1-p
4-576000-1.1-c1e2-0-24	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.11318$	Elliptic curve 2.2.24.1-1000.1-o Elliptic curve 2.2.24.1-1000.2-o Hilbert modular form 2.2.24.1-1000.1-o Hilbert modular form 2.2.24.1-1000.2-o
4-576000-1.1-c1e2-0-25	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.12203$	Elliptic curve 2.2.40.1-360.2-b Elliptic curve 2.2.40.1-360.3-b Hilbert modular form 2.2.40.1-360.2-b Hilbert modular form 2.2.40.1-360.3-b
4-576000-1.1-c1e2-0-26	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.14212$	Elliptic curve 2.2.24.1-1000.1-h Elliptic curve 2.2.24.1-1000.2-h Hilbert modular form 2.2.24.1-1000.1-h Hilbert modular form 2.2.24.1-1000.2-h
4-576000-1.1-c1e2-0-27	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.17564$	Bianchi modular form 2.0.4.1-36000.2-c Bianchi modular form 2.0.4.1-36000.3-f Elliptic curve 2.0.4.1-36000.2-c Elliptic curve 2.0.4.1-36000.3-f
4-576000-1.1-c1e2-0-28	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.19356$	Bianchi modular form 2.0.4.1-36000.2-d Bianchi modular form 2.0.4.1-36000.3-c Elliptic curve 2.0.4.1-36000.2-d Elliptic curve 2.0.4.1-36000.3-c
4-576000-1.1-c1e2-0-29	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.25510$	Elliptic curve 2.2.40.1-360.1-g Elliptic curve 2.2.40.1-360.1-o Hilbert modular form 2.2.40.1-360.1-g Hilbert modular form 2.2.40.1-360.1-o
4-576000-1.1-c1e2-0-3	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.568266$	Elliptic curve 2.2.24.1-1000.1-j Elliptic curve 2.2.24.1-1000.2-j Hilbert modular form 2.2.24.1-1000.1-j Hilbert modular form 2.2.24.1-1000.2-j
4-576000-1.1-c1e2-0-30	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.26377$	Bianchi modular form 2.0.4.1-36000.2-g Bianchi modular form 2.0.4.1-36000.3-g Elliptic curve 2.0.4.1-36000.2-g Elliptic curve 2.0.4.1-36000.3-g
4-576000-1.1-c1e2-0-31	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.27001$	Elliptic curve 2.2.40.1-360.2-a Elliptic curve 2.2.40.1-360.3-a Hilbert modular form 2.2.40.1-360.2-a Hilbert modular form 2.2.40.1-360.3-a
4-576000-1.1-c1e2-0-32	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.28945$	Bianchi modular form 2.0.4.1-36000.2-h Bianchi modular form 2.0.4.1-36000.3-h Elliptic curve 2.0.4.1-36000.2-h Elliptic curve 2.0.4.1-36000.3-h
4-576000-1.1-c1e2-0-33	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.32564$	Elliptic curve 2.2.40.1-360.1-j Elliptic curve 2.2.40.1-360.1-m Hilbert modular form 2.2.40.1-360.1-j Hilbert modular form 2.2.40.1-360.1-m
4-576000-1.1-c1e2-0-34	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.32607$	Elliptic curve 2.2.60.1-160.1-f Elliptic curve 2.2.60.1-160.1-h Hilbert modular form 2.2.60.1-160.1-f Hilbert modular form 2.2.60.1-160.1-h
4-576000-1.1-c1e2-0-35	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.32916$	Elliptic curve 2.2.40.1-360.1-d Elliptic curve 2.2.40.1-360.1-k Hilbert modular form 2.2.40.1-360.1-d Hilbert modular form 2.2.40.1-360.1-k
4-576000-1.1-c1e2-0-36	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.35145$	Bianchi modular form 2.0.4.1-36000.2-j Bianchi modular form 2.0.4.1-36000.3-j Elliptic curve 2.0.4.1-36000.2-j Elliptic curve 2.0.4.1-36000.3-j
4-576000-1.1-c1e2-0-37	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.38158$	Elliptic curve 2.2.60.1-160.1-c Elliptic curve 2.2.60.1-160.1-d Hilbert modular form 2.2.60.1-160.1-c Hilbert modular form 2.2.60.1-160.1-d
4-576000-1.1-c1e2-0-38	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.42093$	Elliptic curve 2.2.24.1-1000.1-c Elliptic curve 2.2.24.1-1000.2-c Hilbert modular form 2.2.24.1-1000.1-c Hilbert modular form 2.2.24.1-1000.2-c
4-576000-1.1-c1e2-0-39	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.46740$	Elliptic curve 2.2.40.1-360.1-f Elliptic curve 2.2.40.1-360.1-h Hilbert modular form 2.2.40.1-360.1-f Hilbert modular form 2.2.40.1-360.1-h
4-576000-1.1-c1e2-0-4	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.570342$	Elliptic curve 2.2.24.1-1000.1-g Elliptic curve 2.2.24.1-1000.2-g Hilbert modular form 2.2.24.1-1000.1-g Hilbert modular form 2.2.24.1-1000.2-g
4-576000-1.1-c1e2-0-40	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.47017$	Bianchi modular form 2.0.4.1-36000.2-l Bianchi modular form 2.0.4.1-36000.3-l Elliptic curve 2.0.4.1-36000.2-l Elliptic curve 2.0.4.1-36000.3-l
4-576000-1.1-c1e2-0-41	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.47109$	Elliptic curve 2.2.60.1-160.1-a Elliptic curve 2.2.60.1-160.1-b Hilbert modular form 2.2.60.1-160.1-a Hilbert modular form 2.2.60.1-160.1-b
4-576000-1.1-c1e2-0-42	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.64555$	Elliptic curve 2.2.24.1-1000.1-f Elliptic curve 2.2.24.1-1000.2-f Hilbert modular form 2.2.24.1-1000.1-f Hilbert modular form 2.2.24.1-1000.2-f
4-576000-1.1-c1e2-0-43	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$2$	$1.76785$	Elliptic curve 2.2.40.1-360.1-e Hilbert modular form 2.2.40.1-360.1-e
4-576000-1.1-c1e2-0-5	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.610712$	Elliptic curve 2.2.24.1-1000.1-l Elliptic curve 2.2.24.1-1000.2-l Hilbert modular form 2.2.24.1-1000.1-l Hilbert modular form 2.2.24.1-1000.2-l
4-576000-1.1-c1e2-0-6	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.642102$	Elliptic curve 2.2.40.1-360.1-b Hilbert modular form 2.2.40.1-360.1-b
4-576000-1.1-c1e2-0-7	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.712985$	Elliptic curve 2.2.24.1-1000.1-i Elliptic curve 2.2.24.1-1000.2-i Hilbert modular form 2.2.24.1-1000.1-i Hilbert modular form 2.2.24.1-1000.2-i
4-576000-1.1-c1e2-0-8	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.726027$	Elliptic curve 2.2.24.1-1000.1-d Elliptic curve 2.2.24.1-1000.2-d Hilbert modular form 2.2.24.1-1000.1-d Hilbert modular form 2.2.24.1-1000.2-d
4-576000-1.1-c1e2-0-9	$2.46$	$36.7$	$4$	$2^{9} \cdot 3^{2} \cdot 5^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.746478$	Bianchi modular form 2.0.4.1-36000.2-b Bianchi modular form 2.0.4.1-36000.3-b Elliptic curve 2.0.4.1-36000.2-b Elliptic curve 2.0.4.1-36000.3-b

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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.