LMFDB - Rational L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

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Results (45 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-395136-1.1-c1e2-0-0	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.480005$	Elliptic curve 2.2.28.1-504.2-c Elliptic curve 2.2.28.1-504.3-c Hilbert modular form 2.2.28.1-504.2-c Hilbert modular form 2.2.28.1-504.3-c
4-395136-1.1-c1e2-0-1	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.518918$	Elliptic curve 2.2.168.1-14.1-b Hilbert modular form 2.2.168.1-14.1-b
4-395136-1.1-c1e2-0-10	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.864058$	Elliptic curve 2.2.28.1-504.2-a Elliptic curve 2.2.28.1-504.3-a Hilbert modular form 2.2.28.1-504.2-a Hilbert modular form 2.2.28.1-504.3-a
4-395136-1.1-c1e2-0-11	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.864085$	Bianchi modular form 2.0.7.1-8064.4-c Bianchi modular form 2.0.7.1-8064.5-c Elliptic curve 2.0.7.1-8064.4-c Elliptic curve 2.0.7.1-8064.5-c
4-395136-1.1-c1e2-0-12	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.892339$	Bianchi modular form 2.0.7.1-8064.2-d Bianchi modular form 2.0.7.1-8064.7-d Elliptic curve 2.0.7.1-8064.2-d Elliptic curve 2.0.7.1-8064.7-d
4-395136-1.1-c1e2-0-13	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.912134$	Elliptic curve 2.2.28.1-504.1-a Elliptic curve 2.2.28.1-504.1-s Hilbert modular form 2.2.28.1-504.1-a Hilbert modular form 2.2.28.1-504.1-s
4-395136-1.1-c1e2-0-14	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.944589$	Elliptic curve 2.2.28.1-504.1-i Elliptic curve 2.2.28.1-504.1-u Hilbert modular form 2.2.28.1-504.1-i Hilbert modular form 2.2.28.1-504.1-u
4-395136-1.1-c1e2-0-15	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.951018$	Bianchi modular form 2.0.7.1-8064.4-d Bianchi modular form 2.0.7.1-8064.5-d Elliptic curve 2.0.7.1-8064.4-d Elliptic curve 2.0.7.1-8064.5-d
4-395136-1.1-c1e2-0-16	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.958556$	Elliptic curve 2.2.168.1-14.1-a Elliptic curve 2.2.168.1-14.1-h Hilbert modular form 2.2.168.1-14.1-a Hilbert modular form 2.2.168.1-14.1-h
4-395136-1.1-c1e2-0-17	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.966687$	Elliptic curve 2.2.168.1-14.1-g Elliptic curve 2.2.168.1-14.1-i Hilbert modular form 2.2.168.1-14.1-g Hilbert modular form 2.2.168.1-14.1-i
4-395136-1.1-c1e2-0-18	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.967318$	Elliptic curve 2.2.28.1-504.1-j Elliptic curve 2.2.28.1-504.1-r Hilbert modular form 2.2.28.1-504.1-j Hilbert modular form 2.2.28.1-504.1-r
4-395136-1.1-c1e2-0-19	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.00010$	Elliptic curve 2.2.28.1-504.2-d Elliptic curve 2.2.28.1-504.3-d Hilbert modular form 2.2.28.1-504.2-d Hilbert modular form 2.2.28.1-504.3-d
4-395136-1.1-c1e2-0-2	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.603156$	Elliptic curve 2.2.28.1-504.1-w Hilbert modular form 2.2.28.1-504.1-w
4-395136-1.1-c1e2-0-20	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.03037$	Elliptic curve 2.2.168.1-14.1-j Hilbert modular form 2.2.168.1-14.1-j
4-395136-1.1-c1e2-0-21	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.04415$	Elliptic curve 2.2.168.1-14.1-d Elliptic curve 2.2.168.1-14.1-e Hilbert modular form 2.2.168.1-14.1-d Hilbert modular form 2.2.168.1-14.1-e
4-395136-1.1-c1e2-0-22	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.09748$	Elliptic curve 2.2.28.1-504.2-e Elliptic curve 2.2.28.1-504.3-e Hilbert modular form 2.2.28.1-504.2-e Hilbert modular form 2.2.28.1-504.3-e
4-395136-1.1-c1e2-0-23	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.11961$	Elliptic curve 2.2.28.1-504.1-l Elliptic curve 2.2.28.1-504.1-q Hilbert modular form 2.2.28.1-504.1-l Hilbert modular form 2.2.28.1-504.1-q
4-395136-1.1-c1e2-0-24	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.12257$	Elliptic curve 2.2.28.1-504.2-h Elliptic curve 2.2.28.1-504.3-h Hilbert modular form 2.2.28.1-504.2-h Hilbert modular form 2.2.28.1-504.3-h
4-395136-1.1-c1e2-0-25	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.22193$	Elliptic curve 2.2.28.1-504.1-g Elliptic curve 2.2.28.1-504.1-m Hilbert modular form 2.2.28.1-504.1-g Hilbert modular form 2.2.28.1-504.1-m
4-395136-1.1-c1e2-0-26	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.28353$	Bianchi modular form 2.0.7.1-8064.2-c Bianchi modular form 2.0.7.1-8064.7-c Elliptic curve 2.0.7.1-8064.2-c Elliptic curve 2.0.7.1-8064.7-c
4-395136-1.1-c1e2-0-27	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.29090$	Elliptic curve 2.2.28.1-504.1-k Elliptic curve 2.2.28.1-504.1-o Hilbert modular form 2.2.28.1-504.1-k Hilbert modular form 2.2.28.1-504.1-o
4-395136-1.1-c1e2-0-28	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.33801$	Elliptic curve 2.2.168.1-14.1-f Elliptic curve 2.2.168.1-14.1-l Hilbert modular form 2.2.168.1-14.1-f Hilbert modular form 2.2.168.1-14.1-l
4-395136-1.1-c1e2-0-29	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.33827$	Elliptic curve 2.2.168.1-14.1-k Hilbert modular form 2.2.168.1-14.1-k
4-395136-1.1-c1e2-0-3	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.629187$	Elliptic curve 2.2.28.1-504.2-b Elliptic curve 2.2.28.1-504.3-b Hilbert modular form 2.2.28.1-504.2-b Hilbert modular form 2.2.28.1-504.3-b
4-395136-1.1-c1e2-0-30	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.34058$	Elliptic curve 2.2.28.1-504.1-h Elliptic curve 2.2.28.1-504.1-t Hilbert modular form 2.2.28.1-504.1-h Hilbert modular form 2.2.28.1-504.1-t
4-395136-1.1-c1e2-0-31	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.35797$	Bianchi modular form 2.0.7.1-8064.4-e Bianchi modular form 2.0.7.1-8064.5-f Elliptic curve 2.0.7.1-8064.4-e Elliptic curve 2.0.7.1-8064.5-f
4-395136-1.1-c1e2-0-32	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.37195$	Bianchi modular form 2.0.7.1-8064.4-f Bianchi modular form 2.0.7.1-8064.5-e Elliptic curve 2.0.7.1-8064.4-f Elliptic curve 2.0.7.1-8064.5-e
4-395136-1.1-c1e2-0-33	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.40112$	Bianchi modular form 2.0.7.1-8064.2-b Bianchi modular form 2.0.7.1-8064.7-a Elliptic curve 2.0.7.1-8064.2-b Elliptic curve 2.0.7.1-8064.7-a
4-395136-1.1-c1e2-0-34	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.44839$	Elliptic curve 2.2.28.1-504.1-c Elliptic curve 2.2.28.1-504.1-n Hilbert modular form 2.2.28.1-504.1-c Hilbert modular form 2.2.28.1-504.1-n
4-395136-1.1-c1e2-0-35	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.45093$	Elliptic curve 2.2.28.1-504.2-g Elliptic curve 2.2.28.1-504.3-g Hilbert modular form 2.2.28.1-504.2-g Hilbert modular form 2.2.28.1-504.3-g
4-395136-1.1-c1e2-0-36	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.45546$	Bianchi modular form 2.0.7.1-8064.4-b Bianchi modular form 2.0.7.1-8064.5-b Elliptic curve 2.0.7.1-8064.4-b Elliptic curve 2.0.7.1-8064.5-b
4-395136-1.1-c1e2-0-37	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.52198$	Bianchi modular form 2.0.7.1-8064.2-f Bianchi modular form 2.0.7.1-8064.7-f Elliptic curve 2.0.7.1-8064.2-f Elliptic curve 2.0.7.1-8064.7-f
4-395136-1.1-c1e2-0-38	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.55194$	Elliptic curve 2.2.168.1-14.1-c Hilbert modular form 2.2.168.1-14.1-c
4-395136-1.1-c1e2-0-39	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.60409$	Bianchi modular form 2.0.7.1-8064.2-e Bianchi modular form 2.0.7.1-8064.7-e Elliptic curve 2.0.7.1-8064.2-e Elliptic curve 2.0.7.1-8064.7-e
4-395136-1.1-c1e2-0-4	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.629641$	Elliptic curve 2.2.56.1-126.1-b Hilbert modular form 2.2.56.1-126.1-b
4-395136-1.1-c1e2-0-40	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.62544$	Bianchi modular form 2.0.7.1-8064.2-g Bianchi modular form 2.0.7.1-8064.7-g Elliptic curve 2.0.7.1-8064.2-g Elliptic curve 2.0.7.1-8064.7-g
4-395136-1.1-c1e2-0-41	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.66936$	Elliptic curve 2.2.28.1-504.1-d Hilbert modular form 2.2.28.1-504.1-d
4-395136-1.1-c1e2-0-42	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.70572$	Elliptic curve 2.2.28.1-504.1-v Hilbert modular form 2.2.28.1-504.1-v
4-395136-1.1-c1e2-0-43	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.78280$	Elliptic curve 2.2.28.1-504.2-f Elliptic curve 2.2.28.1-504.3-f Hilbert modular form 2.2.28.1-504.2-f Hilbert modular form 2.2.28.1-504.3-f
4-395136-1.1-c1e2-0-44	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.88351$	Elliptic curve 2.2.56.1-126.1-a Hilbert modular form 2.2.56.1-126.1-a
4-395136-1.1-c1e2-0-5	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.720464$	Bianchi modular form 2.0.7.1-8064.4-a Bianchi modular form 2.0.7.1-8064.5-a Elliptic curve 2.0.7.1-8064.4-a Elliptic curve 2.0.7.1-8064.5-a
4-395136-1.1-c1e2-0-6	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.754759$	Elliptic curve 2.2.28.1-504.1-b Elliptic curve 2.2.28.1-504.1-x Hilbert modular form 2.2.28.1-504.1-b Hilbert modular form 2.2.28.1-504.1-x
4-395136-1.1-c1e2-0-7	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.781836$	Elliptic curve 2.2.28.1-504.1-f Hilbert modular form 2.2.28.1-504.1-f
4-395136-1.1-c1e2-0-8	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.813850$	Elliptic curve 2.2.28.1-504.1-e Elliptic curve 2.2.28.1-504.1-p Hilbert modular form 2.2.28.1-504.1-e Hilbert modular form 2.2.28.1-504.1-p
4-395136-1.1-c1e2-0-9	$2.24$	$25.1$	$4$	$2^{7} \cdot 3^{2} \cdot 7^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.816047$	Bianchi modular form 2.0.7.1-8064.2-a Bianchi modular form 2.0.7.1-8064.7-b Elliptic curve 2.0.7.1-8064.2-a Elliptic curve 2.0.7.1-8064.7-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.