curve #3887

y² + xy = x³ − 5289088285297747922958847211699145x + 147903305650026703236600481489635284498550115507737

a-invariants: [1, 0, 0, -5289088285297747922958847211699145, 147903305650026703236600481489635284498550115507737]
rank (lower bound): ≥ 21
torsion subgroup: trivial
conductor (N): 97352566003117440383432293868006679659729042354599703779331436159402330
discriminant (Δ): 19231606059464581261872666062735595096063314140953930474951065737419636600882530507854288558080000000
Faltings height: 18.1545
naive height: 244.5665
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 29, 53, 61, 2767, 1495155973, 25636352740107097, 13108204948221678860850200219
regulator: 18683724423466104711.400841765339900050367346094333213385609218573259678386060350
submitted by: 7fff-zip
submitted at: 2026-10-04 14:08:36 UTC
last updated: 2026-10-04 14:08:36 UTC

(254026958298841914, -123274549710409057621524957)
(40890888474314064, -277604211920089718757)
(-560575599779972802474/7225, -5864723194709778441728361074781/614125)
(39774242977236954, -675495242141144800799517)
(3250262744535014394, -5858276912736369668411889117)
(111425276741925952046/529, -1113725656214981964507287610659/12167)
(-25742528194248966, 16340098209990264181270563)
(31647215633517114, -3494930423418886073451357)
(49762848065886457674/841, 158270941456165183110978479727/24389)
(-8313090284677802406/121, 18200779274917364240403460233/1331)
(114723117987055537002/2809, -17516643719561996432520786873/148877)
(13404909775598203326/2209, 1118356901623488666270992943189/103823)
(10729145051384674830834/249001, -7265736826171698174622388808303/124251499)
(164218404903964900674/121, 2101460320926332805835575905313/1331)
(694454679428818722/49, -2986074130050029357142721707/343)
(3508633909128000418/81, -198418621562242945777376621/729)
(928510110385886666275674/21446161, -25673624479707716278600390199981067/99317171591)
(167167550767452496494/3721, 222566752328454597792881707683/226981)
(-163883351465936687766/3481, -3512883672413120546783818713303/205379)
(4415182500429521466/25, -8589799409739867448250637129/125)
(-71069526619483206, 12838723698762936095337123)

X1008, t=95/97

last edited by 7fff-zip at 2026-10-04 14:08:36 UTC · history