LMFDB - Rational L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-2695275-1.1-c1e2-0-0	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.326124$	Bianchi modular form 2.0.11.1-22275.1-a Bianchi modular form 2.0.11.1-22275.15-a Elliptic curve 2.0.11.1-22275.1-a Elliptic curve 2.0.11.1-22275.15-a
4-2695275-1.1-c1e2-0-1	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.365911$	Bianchi modular form 2.0.11.1-22275.7-e Bianchi modular form 2.0.11.1-22275.9-e Elliptic curve 2.0.11.1-22275.7-e Elliptic curve 2.0.11.1-22275.9-e
4-2695275-1.1-c1e2-0-10	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.588543$	Bianchi modular form 2.0.11.1-22275.3-a Bianchi modular form 2.0.11.1-22275.13-a Elliptic curve 2.0.11.1-22275.3-a Elliptic curve 2.0.11.1-22275.13-a
4-2695275-1.1-c1e2-0-11	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.593644$	Bianchi modular form 2.0.11.1-22275.6-h Bianchi modular form 2.0.11.1-22275.10-h Elliptic curve 2.0.11.1-22275.6-h Elliptic curve 2.0.11.1-22275.10-h
4-2695275-1.1-c1e2-0-12	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.614586$	Bianchi modular form 2.0.11.1-22275.4-b Bianchi modular form 2.0.11.1-22275.12-b Elliptic curve 2.0.11.1-22275.4-b Elliptic curve 2.0.11.1-22275.12-b
4-2695275-1.1-c1e2-0-13	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.617466$	Bianchi modular form 2.0.11.1-22275.1-d Bianchi modular form 2.0.11.1-22275.15-d Elliptic curve 2.0.11.1-22275.1-d Elliptic curve 2.0.11.1-22275.15-d
4-2695275-1.1-c1e2-0-14	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.633462$	Bianchi modular form 2.0.11.1-22275.1-c Bianchi modular form 2.0.11.1-22275.15-c Elliptic curve 2.0.11.1-22275.1-c Elliptic curve 2.0.11.1-22275.15-c
4-2695275-1.1-c1e2-0-15	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.635606$	Bianchi modular form 2.0.11.1-22275.7-a Bianchi modular form 2.0.11.1-22275.9-a Elliptic curve 2.0.11.1-22275.7-a Elliptic curve 2.0.11.1-22275.9-a
4-2695275-1.1-c1e2-0-16	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.656563$	Bianchi modular form 2.0.11.1-22275.5-a Bianchi modular form 2.0.11.1-22275.11-a Elliptic curve 2.0.11.1-22275.5-a Elliptic curve 2.0.11.1-22275.11-a
4-2695275-1.1-c1e2-0-17	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.660492$	Bianchi modular form 2.0.11.1-22275.5-b Bianchi modular form 2.0.11.1-22275.11-b Elliptic curve 2.0.11.1-22275.5-b Elliptic curve 2.0.11.1-22275.11-b
4-2695275-1.1-c1e2-0-18	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.660750$	Bianchi modular form 2.0.11.1-22275.6-a Bianchi modular form 2.0.11.1-22275.10-a Elliptic curve 2.0.11.1-22275.6-a Elliptic curve 2.0.11.1-22275.10-a
4-2695275-1.1-c1e2-0-19	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.670512$	Bianchi modular form 2.0.11.1-22275.7-p Bianchi modular form 2.0.11.1-22275.9-p Elliptic curve 2.0.11.1-22275.7-p Elliptic curve 2.0.11.1-22275.9-p
4-2695275-1.1-c1e2-0-2	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.393919$	Bianchi modular form 2.0.11.1-22275.8-f Bianchi modular form 2.0.11.1-22275.8-g Elliptic curve 2.0.11.1-22275.8-f Elliptic curve 2.0.11.1-22275.8-g
4-2695275-1.1-c1e2-0-20	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.679284$	Bianchi modular form 2.0.11.1-22275.6-i Bianchi modular form 2.0.11.1-22275.10-i Elliptic curve 2.0.11.1-22275.6-i Elliptic curve 2.0.11.1-22275.10-i
4-2695275-1.1-c1e2-0-21	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.744316$	Bianchi modular form 2.0.11.1-22275.7-h Bianchi modular form 2.0.11.1-22275.9-h Elliptic curve 2.0.11.1-22275.7-h Elliptic curve 2.0.11.1-22275.9-h
4-2695275-1.1-c1e2-0-22	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.763227$	Bianchi modular form 2.0.11.1-22275.7-m Bianchi modular form 2.0.11.1-22275.9-m Elliptic curve 2.0.11.1-22275.7-m Elliptic curve 2.0.11.1-22275.9-m
4-2695275-1.1-c1e2-0-23	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.763432$	Bianchi modular form 2.0.11.1-22275.4-d Bianchi modular form 2.0.11.1-22275.12-d Elliptic curve 2.0.11.1-22275.4-d Elliptic curve 2.0.11.1-22275.12-d
4-2695275-1.1-c1e2-0-24	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.775993$	Bianchi modular form 2.0.11.1-22275.3-c Bianchi modular form 2.0.11.1-22275.13-c Elliptic curve 2.0.11.1-22275.3-c Elliptic curve 2.0.11.1-22275.13-c
4-2695275-1.1-c1e2-0-25	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.796773$	Bianchi modular form 2.0.11.1-22275.6-b Bianchi modular form 2.0.11.1-22275.10-b Elliptic curve 2.0.11.1-22275.6-b Elliptic curve 2.0.11.1-22275.10-b
4-2695275-1.1-c1e2-0-26	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.825453$	Bianchi modular form 2.0.11.1-22275.7-c Bianchi modular form 2.0.11.1-22275.9-c Elliptic curve 2.0.11.1-22275.7-c Elliptic curve 2.0.11.1-22275.9-c
4-2695275-1.1-c1e2-0-27	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.833635$	Bianchi modular form 2.0.11.1-22275.7-f Bianchi modular form 2.0.11.1-22275.9-f Elliptic curve 2.0.11.1-22275.7-f Elliptic curve 2.0.11.1-22275.9-f
4-2695275-1.1-c1e2-0-28	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.836931$	Bianchi modular form 2.0.11.1-22275.8-j Bianchi modular form 2.0.11.1-22275.8-k Elliptic curve 2.0.11.1-22275.8-j Elliptic curve 2.0.11.1-22275.8-k
4-2695275-1.1-c1e2-0-29	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.845099$	Bianchi modular form 2.0.11.1-22275.7-b Bianchi modular form 2.0.11.1-22275.9-b Elliptic curve 2.0.11.1-22275.7-b Elliptic curve 2.0.11.1-22275.9-b
4-2695275-1.1-c1e2-0-3	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.420097$	Bianchi modular form 2.0.11.1-22275.7-j Bianchi modular form 2.0.11.1-22275.9-j Elliptic curve 2.0.11.1-22275.7-j Elliptic curve 2.0.11.1-22275.9-j
4-2695275-1.1-c1e2-0-30	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.870024$	Bianchi modular form 2.0.11.1-22275.8-d Bianchi modular form 2.0.11.1-22275.8-e Elliptic curve 2.0.11.1-22275.8-d Elliptic curve 2.0.11.1-22275.8-e
4-2695275-1.1-c1e2-0-31	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.882831$	Bianchi modular form 2.0.11.1-22275.6-c Bianchi modular form 2.0.11.1-22275.10-c Elliptic curve 2.0.11.1-22275.6-c Elliptic curve 2.0.11.1-22275.10-c
4-2695275-1.1-c1e2-0-32	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.894872$	Bianchi modular form 2.0.11.1-22275.6-d Bianchi modular form 2.0.11.1-22275.10-d Elliptic curve 2.0.11.1-22275.6-d Elliptic curve 2.0.11.1-22275.10-d
4-2695275-1.1-c1e2-0-33	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.903422$	Bianchi modular form 2.0.11.1-22275.8-b Bianchi modular form 2.0.11.1-22275.8-c Elliptic curve 2.0.11.1-22275.8-b Elliptic curve 2.0.11.1-22275.8-c
4-2695275-1.1-c1e2-0-34	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.912271$	Bianchi modular form 2.0.11.1-22275.7-r Bianchi modular form 2.0.11.1-22275.9-r Elliptic curve 2.0.11.1-22275.7-r Elliptic curve 2.0.11.1-22275.9-r
4-2695275-1.1-c1e2-0-35	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.923779$	Bianchi modular form 2.0.11.1-22275.1-b Bianchi modular form 2.0.11.1-22275.15-b Elliptic curve 2.0.11.1-22275.1-b Elliptic curve 2.0.11.1-22275.15-b
4-2695275-1.1-c1e2-0-36	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.946427$	Bianchi modular form 2.0.11.1-22275.7-k Bianchi modular form 2.0.11.1-22275.9-k Elliptic curve 2.0.11.1-22275.7-k Elliptic curve 2.0.11.1-22275.9-k
4-2695275-1.1-c1e2-0-37	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.973951$	Bianchi modular form 2.0.11.1-22275.7-n Bianchi modular form 2.0.11.1-22275.9-n Elliptic curve 2.0.11.1-22275.7-n Elliptic curve 2.0.11.1-22275.9-n
4-2695275-1.1-c1e2-0-38	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.02996$	Bianchi modular form 2.0.11.1-22275.6-g Bianchi modular form 2.0.11.1-22275.10-g Elliptic curve 2.0.11.1-22275.6-g Elliptic curve 2.0.11.1-22275.10-g
4-2695275-1.1-c1e2-0-39	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.03094$	Bianchi modular form 2.0.11.1-22275.7-g Bianchi modular form 2.0.11.1-22275.9-g Elliptic curve 2.0.11.1-22275.7-g Elliptic curve 2.0.11.1-22275.9-g
4-2695275-1.1-c1e2-0-4	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.484328$	Bianchi modular form 2.0.11.1-22275.7-i Bianchi modular form 2.0.11.1-22275.9-i Elliptic curve 2.0.11.1-22275.7-i Elliptic curve 2.0.11.1-22275.9-i
4-2695275-1.1-c1e2-0-40	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.04600$	Bianchi modular form 2.0.11.1-22275.6-e Bianchi modular form 2.0.11.1-22275.10-e Elliptic curve 2.0.11.1-22275.6-e Elliptic curve 2.0.11.1-22275.10-e
4-2695275-1.1-c1e2-0-41	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.04939$	Bianchi modular form 2.0.11.1-22275.4-e Bianchi modular form 2.0.11.1-22275.12-e Elliptic curve 2.0.11.1-22275.4-e Elliptic curve 2.0.11.1-22275.12-e
4-2695275-1.1-c1e2-0-42	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.06223$	Bianchi modular form 2.0.11.1-22275.8-h Bianchi modular form 2.0.11.1-22275.8-i Elliptic curve 2.0.11.1-22275.8-h Elliptic curve 2.0.11.1-22275.8-i
4-2695275-1.1-c1e2-0-43	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.08173$	Bianchi modular form 2.0.11.1-22275.6-f Bianchi modular form 2.0.11.1-22275.10-f Elliptic curve 2.0.11.1-22275.6-f Elliptic curve 2.0.11.1-22275.10-f
4-2695275-1.1-c1e2-0-44	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.08559$	Bianchi modular form 2.0.11.1-22275.7-o Bianchi modular form 2.0.11.1-22275.9-o Elliptic curve 2.0.11.1-22275.7-o Elliptic curve 2.0.11.1-22275.9-o
4-2695275-1.1-c1e2-0-45	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.15077$	Bianchi modular form 2.0.11.1-22275.7-d Bianchi modular form 2.0.11.1-22275.9-d Elliptic curve 2.0.11.1-22275.7-d Elliptic curve 2.0.11.1-22275.9-d
4-2695275-1.1-c1e2-0-46	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.17014$	Bianchi modular form 2.0.11.1-22275.7-q Bianchi modular form 2.0.11.1-22275.9-q Elliptic curve 2.0.11.1-22275.7-q Elliptic curve 2.0.11.1-22275.9-q
4-2695275-1.1-c1e2-0-47	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.22992$	Bianchi modular form 2.0.11.1-22275.4-f Bianchi modular form 2.0.11.1-22275.12-f Elliptic curve 2.0.11.1-22275.4-f Elliptic curve 2.0.11.1-22275.12-f
4-2695275-1.1-c1e2-0-48	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.24271$	Bianchi modular form 2.0.11.1-22275.5-c Bianchi modular form 2.0.11.1-22275.11-c Elliptic curve 2.0.11.1-22275.5-c Elliptic curve 2.0.11.1-22275.11-c
4-2695275-1.1-c1e2-0-49	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.26055$	Bianchi modular form 2.0.11.1-22275.7-l Bianchi modular form 2.0.11.1-22275.9-l Elliptic curve 2.0.11.1-22275.7-l Elliptic curve 2.0.11.1-22275.9-l
4-2695275-1.1-c1e2-0-5	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.511756$	Bianchi modular form 2.0.11.1-22275.3-e Bianchi modular form 2.0.11.1-22275.13-e Elliptic curve 2.0.11.1-22275.3-e Elliptic curve 2.0.11.1-22275.13-e
4-2695275-1.1-c1e2-0-50	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$		$1$	$2$	$1.27797$	Bianchi modular form 2.0.11.1-22275.8-a Elliptic curve 2.0.11.1-22275.8-a
4-2695275-1.1-c1e2-0-51	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.30434$	Bianchi modular form 2.0.11.1-22275.4-g Bianchi modular form 2.0.11.1-22275.12-g Elliptic curve 2.0.11.1-22275.4-g Elliptic curve 2.0.11.1-22275.12-g
4-2695275-1.1-c1e2-0-6	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.521709$	Bianchi modular form 2.0.11.1-22275.3-d Bianchi modular form 2.0.11.1-22275.13-d Elliptic curve 2.0.11.1-22275.3-d Elliptic curve 2.0.11.1-22275.13-d
4-2695275-1.1-c1e2-0-7	$3.62$	$171.$	$4$	$3^{4} \cdot 5^{2} \cdot 11^{3}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.558702$	Bianchi modular form 2.0.11.1-22275.4-a Bianchi modular form 2.0.11.1-22275.12-a Elliptic curve 2.0.11.1-22275.4-a Elliptic curve 2.0.11.1-22275.12-a

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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.