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
4-311904-1.1-c1e2-0-0	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.694080$	Elliptic curve 2.2.12.1-2166.1-e Hilbert modular form 2.2.12.1-2166.1-e
4-311904-1.1-c1e2-0-1	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.770157$	Elliptic curve 2.2.57.1-96.3-a Elliptic curve 2.2.57.1-96.4-a Elliptic curve 2.2.76.1-54.1-h Elliptic curve 2.2.76.1-54.2-h Hilbert modular form 2.2.57.1-96.3-a Hilbert modular form 2.2.57.1-96.4-a Hilbert modular form 2.2.76.1-54.1-h Hilbert modular form 2.2.76.1-54.2-h
4-311904-1.1-c1e2-0-10	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.916187$	Elliptic curve 2.2.57.1-96.5-d Elliptic curve 2.2.57.1-96.6-d Hilbert modular form 2.2.57.1-96.5-d Hilbert modular form 2.2.57.1-96.6-d
4-311904-1.1-c1e2-0-11	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.988949$	Elliptic curve 2.2.57.1-96.5-f Elliptic curve 2.2.57.1-96.6-f Hilbert modular form 2.2.57.1-96.5-f Hilbert modular form 2.2.57.1-96.6-f
4-311904-1.1-c1e2-0-12	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.00697$	Elliptic curve 2.2.57.1-96.5-b Elliptic curve 2.2.57.1-96.6-b Hilbert modular form 2.2.57.1-96.5-b Hilbert modular form 2.2.57.1-96.6-b
4-311904-1.1-c1e2-0-13	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.09249$	Elliptic curve 2.2.57.1-96.5-e Elliptic curve 2.2.57.1-96.6-e Hilbert modular form 2.2.57.1-96.5-e Hilbert modular form 2.2.57.1-96.6-e
4-311904-1.1-c1e2-0-14	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.09773$	Elliptic curve 2.2.12.1-2166.1-a Hilbert modular form 2.2.12.1-2166.1-a
4-311904-1.1-c1e2-0-15	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.10472$	Elliptic curve 2.2.57.1-96.3-k Elliptic curve 2.2.57.1-96.4-k Hilbert modular form 2.2.57.1-96.3-k Hilbert modular form 2.2.57.1-96.4-k
4-311904-1.1-c1e2-0-16	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.12893$	Elliptic curve 2.2.76.1-54.3-e Elliptic curve 2.2.76.1-54.4-e Hilbert modular form 2.2.76.1-54.3-e Hilbert modular form 2.2.76.1-54.4-e
4-311904-1.1-c1e2-0-17	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.13410$	Elliptic curve 2.2.57.1-96.5-h Elliptic curve 2.2.57.1-96.6-h Hilbert modular form 2.2.57.1-96.5-h Hilbert modular form 2.2.57.1-96.6-h
4-311904-1.1-c1e2-0-18	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.15871$	Elliptic curve 2.2.12.1-2166.1-b Hilbert modular form 2.2.12.1-2166.1-b
4-311904-1.1-c1e2-0-19	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.15985$	Elliptic curve 2.2.76.1-54.1-f Elliptic curve 2.2.76.1-54.2-f Hilbert modular form 2.2.76.1-54.1-f Hilbert modular form 2.2.76.1-54.2-f
4-311904-1.1-c1e2-0-2	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.807025$	Elliptic curve 2.2.57.1-96.3-l Elliptic curve 2.2.57.1-96.4-l Elliptic curve 2.2.76.1-54.1-d Elliptic curve 2.2.76.1-54.2-d Hilbert modular form 2.2.57.1-96.3-l Hilbert modular form 2.2.57.1-96.4-l Hilbert modular form 2.2.76.1-54.1-d Hilbert modular form 2.2.76.1-54.2-d
4-311904-1.1-c1e2-0-20	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.17565$	Elliptic curve 2.2.57.1-96.5-c Elliptic curve 2.2.57.1-96.6-c Hilbert modular form 2.2.57.1-96.5-c Hilbert modular form 2.2.57.1-96.6-c
4-311904-1.1-c1e2-0-21	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.18065$	Elliptic curve 2.2.57.1-96.3-c Elliptic curve 2.2.57.1-96.4-c Hilbert modular form 2.2.57.1-96.3-c Hilbert modular form 2.2.57.1-96.4-c
4-311904-1.1-c1e2-0-22	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.20874$	Elliptic curve 2.2.76.1-54.1-b Elliptic curve 2.2.76.1-54.2-b Hilbert modular form 2.2.76.1-54.1-b Hilbert modular form 2.2.76.1-54.2-b
4-311904-1.1-c1e2-0-23	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.21970$	Elliptic curve 2.2.76.1-54.3-a Elliptic curve 2.2.76.1-54.4-a Hilbert modular form 2.2.76.1-54.3-a Hilbert modular form 2.2.76.1-54.4-a
4-311904-1.1-c1e2-0-24	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.25769$	Elliptic curve 2.2.57.1-96.3-j Elliptic curve 2.2.57.1-96.4-j Hilbert modular form 2.2.57.1-96.3-j Hilbert modular form 2.2.57.1-96.4-j
4-311904-1.1-c1e2-0-25	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.28824$	Elliptic curve 2.2.57.1-96.1-b Elliptic curve 2.2.57.1-96.2-b Hilbert modular form 2.2.57.1-96.1-b Hilbert modular form 2.2.57.1-96.2-b
4-311904-1.1-c1e2-0-26	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.29710$	Elliptic curve 2.2.76.1-54.3-c Elliptic curve 2.2.76.1-54.4-c Hilbert modular form 2.2.76.1-54.3-c Hilbert modular form 2.2.76.1-54.4-c
4-311904-1.1-c1e2-0-27	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.30674$	Elliptic curve 2.2.57.1-96.5-g Elliptic curve 2.2.57.1-96.6-g Hilbert modular form 2.2.57.1-96.5-g Hilbert modular form 2.2.57.1-96.6-g
4-311904-1.1-c1e2-0-28	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.30690$	Elliptic curve 2.2.76.1-54.1-e Elliptic curve 2.2.76.1-54.2-e Hilbert modular form 2.2.76.1-54.1-e Hilbert modular form 2.2.76.1-54.2-e
4-311904-1.1-c1e2-0-29	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.31937$	Elliptic curve 2.2.57.1-96.3-b Elliptic curve 2.2.57.1-96.4-b Hilbert modular form 2.2.57.1-96.3-b Hilbert modular form 2.2.57.1-96.4-b
4-311904-1.1-c1e2-0-3	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.824797$	Elliptic curve 2.2.76.1-54.3-b Elliptic curve 2.2.76.1-54.4-b Hilbert modular form 2.2.76.1-54.3-b Hilbert modular form 2.2.76.1-54.4-b
4-311904-1.1-c1e2-0-30	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.34551$	Elliptic curve 2.2.57.1-96.3-f Elliptic curve 2.2.57.1-96.4-f Hilbert modular form 2.2.57.1-96.3-f Hilbert modular form 2.2.57.1-96.4-f
4-311904-1.1-c1e2-0-31	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.38996$	Elliptic curve 2.2.76.1-54.1-g Elliptic curve 2.2.76.1-54.2-g Hilbert modular form 2.2.76.1-54.1-g Hilbert modular form 2.2.76.1-54.2-g
4-311904-1.1-c1e2-0-32	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.47847$	Elliptic curve 2.2.12.1-2166.1-d Hilbert modular form 2.2.12.1-2166.1-d
4-311904-1.1-c1e2-0-33	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.49240$	Elliptic curve 2.2.57.1-96.3-e Elliptic curve 2.2.57.1-96.4-e Hilbert modular form 2.2.57.1-96.3-e Hilbert modular form 2.2.57.1-96.4-e
4-311904-1.1-c1e2-0-34	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.51910$	Elliptic curve 2.2.76.1-54.1-a Elliptic curve 2.2.76.1-54.2-a Hilbert modular form 2.2.76.1-54.1-a Hilbert modular form 2.2.76.1-54.2-a
4-311904-1.1-c1e2-0-35	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.54017$	Elliptic curve 2.2.57.1-96.3-h Elliptic curve 2.2.57.1-96.4-h Hilbert modular form 2.2.57.1-96.3-h Hilbert modular form 2.2.57.1-96.4-h
4-311904-1.1-c1e2-0-36	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.54028$	Elliptic curve 2.2.57.1-96.5-i Elliptic curve 2.2.57.1-96.6-i Hilbert modular form 2.2.57.1-96.5-i Hilbert modular form 2.2.57.1-96.6-i
4-311904-1.1-c1e2-0-37	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.56771$	Elliptic curve 2.2.57.1-96.5-j Elliptic curve 2.2.57.1-96.6-j Hilbert modular form 2.2.57.1-96.5-j Hilbert modular form 2.2.57.1-96.6-j
4-311904-1.1-c1e2-0-38	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.57346$	Elliptic curve 2.2.76.1-54.3-d Elliptic curve 2.2.76.1-54.4-d Hilbert modular form 2.2.76.1-54.3-d Hilbert modular form 2.2.76.1-54.4-d
4-311904-1.1-c1e2-0-39	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.58449$	Elliptic curve 2.2.76.1-54.3-f Elliptic curve 2.2.76.1-54.4-f Hilbert modular form 2.2.76.1-54.3-f Hilbert modular form 2.2.76.1-54.4-f
4-311904-1.1-c1e2-0-4	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.832930$	Elliptic curve 2.2.76.1-54.1-c Elliptic curve 2.2.76.1-54.2-c Hilbert modular form 2.2.76.1-54.1-c Hilbert modular form 2.2.76.1-54.2-c
4-311904-1.1-c1e2-0-40	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.61712$	Elliptic curve 2.2.57.1-96.1-a Elliptic curve 2.2.57.1-96.2-a Hilbert modular form 2.2.57.1-96.1-a Hilbert modular form 2.2.57.1-96.2-a
4-311904-1.1-c1e2-0-41	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.73017$	Elliptic curve 2.2.57.1-96.5-l Elliptic curve 2.2.57.1-96.6-l Hilbert modular form 2.2.57.1-96.5-l Hilbert modular form 2.2.57.1-96.6-l
4-311904-1.1-c1e2-0-42	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.79376$	Elliptic curve 2.2.12.1-2166.1-c Hilbert modular form 2.2.12.1-2166.1-c
4-311904-1.1-c1e2-0-43	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.81801$	Elliptic curve 2.2.12.1-2166.1-f Hilbert modular form 2.2.12.1-2166.1-f
4-311904-1.1-c1e2-0-5	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.842640$	Elliptic curve 2.2.57.1-96.3-i Elliptic curve 2.2.57.1-96.4-i Hilbert modular form 2.2.57.1-96.3-i Hilbert modular form 2.2.57.1-96.4-i
4-311904-1.1-c1e2-0-6	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.872782$	Elliptic curve 2.2.57.1-96.3-g Elliptic curve 2.2.57.1-96.4-g Hilbert modular form 2.2.57.1-96.3-g Hilbert modular form 2.2.57.1-96.4-g
4-311904-1.1-c1e2-0-7	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.891192$	Elliptic curve 2.2.57.1-96.5-k Elliptic curve 2.2.57.1-96.6-k Hilbert modular form 2.2.57.1-96.5-k Hilbert modular form 2.2.57.1-96.6-k
4-311904-1.1-c1e2-0-8	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.893997$	Elliptic curve 2.2.57.1-96.5-a Elliptic curve 2.2.57.1-96.6-a Hilbert modular form 2.2.57.1-96.5-a Hilbert modular form 2.2.57.1-96.6-a
4-311904-1.1-c1e2-0-9	$2.11$	$19.8$	$4$	$2^{5} \cdot 3^{3} \cdot 19^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.895638$	Elliptic curve 2.2.57.1-96.3-d Elliptic curve 2.2.57.1-96.4-d Hilbert modular form 2.2.57.1-96.3-d Hilbert modular form 2.2.57.1-96.4-d

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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.