curve #1852

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y² + xy = x³ − 890963056692242555940082624025142045x + 243243736320519859595844782954226463790373245753708337

a-invariants: [1, 0, 0, -890963056692242555940082624025142045, 243243736320519859595844782954226463790373245753708337]
rank (lower bound): ≥ 22
torsion subgroup: trivial
conductor (N): 14162025714027657019881151594703626900055082849358864001193843181759174055119890
discriminant (Δ): 19704272696216926130993592345942972016047818724333518423347687454950262024671420294084800525705567464448000000
Faltings height: 19.6815
naive height: 259.9464
primes of bad reduction: 2, 3, 5, 17, 23, 41, 47, 59, 71, 101, 127, 11660312685905386742557556973446588148187682538555308889836893753
regulator: 3149418782621787480367.542269885592568153774959488860121086933045005109938135232371
submitted by: Ritik Jain
submitted at: 2026-09-25 17:11:37 UTC
last updated: 2026-09-25 17:11:37 UTC

Witness: 22 independent points log in to add more points →

(259547964592818114, 171699082389022206516608943)
(183397027314263784, 293278403513726188163040513)
(554287602707443204785716994/595799281, 6814397883475244138881939147072115593767/14542864649929)
(-1879676427414371567886/5041, 258990072687050595716229840167193/357911)
(109705572481885474104/361, -160970341723178417290619151813/6859)
(3944813810991033150877567986/2384661889, 211422188609591156626800257860482792920511/116450194025537)
(9725402970551401827876/12769, 116115231545362983268002555017901/1442897)
(-584652262278845411406/1681, -49270044269401525619718016328217/68921)
(10097153907835144694274/5041, 912130203516562806449659120458873/357911)
(290649758440059054, -94015109274098582872538217)
(9103128537327921171/4, 25301131769054338814266568559/8)
(150410457499978839186/49, -1763417350489638907617032691351/343)
(3989118219432350114, -7756815132962625189041767057)
(3168269707912987939776/10609, -67370069550583341776731078268289/1092727)
(33466270935342448793666/237169, -40066133886810678846624112909368871/115501303)
(-3114919264057355718126/6241, 370139983991438068287894254624577/493039)
(15759533840687064, -478755144065269667139176457)
(39330822727383588412845508964682/12616782144121, 236118114940766310837755549114976218790255858093/44814948960521377331)
(-45742198060749979762847216459379/74066334192400, 476127508722903215787419432490066301803656776491/637428203999949032000)
(-225747404825279692650793002/260144641, 2527760290758956221172183393095832320359/4195872914689)
(-93272438063498757311458249649892846/108975735623202361, 22141579526696285695411658229785416336394813880849213/35974495650780564760079891)
(555924500062148149056182049/428324416, 10002692068374785773028842303830199483323/8864602113536)

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