curve #3891

y² + xy = x³ − 14666392936083063539147147913620x + 22068302031556519045076687151142203315512218512

a-invariants: [1, 0, 0, -14666392936083063539147147913620, 22068302031556519045076687151142203315512218512]
rank (lower bound): ≥ 20
torsion subgroup: trivial
conductor (N): 102535238216798499300504307938896975680629590851274436308297621430
discriminant (Δ): -8481975965642846352248142824560137607306957846938770620611391325613169564977381040214016000000
Faltings height: 16.8087
naive height: 226.9441
primes of bad reduction: 2, 3, 5, 13, 17, 19, 29, 59, 1453, 1613, 1907, 698171, 3687622319, 62404431737261, 662493555466342807
regulator: 979359752160600893.656363950060982949504127275937598247050542502760984687935618
submitted by: 7fff-zip
submitted at: 2026-10-04 14:09:03 UTC
last updated: 2026-10-04 14:09:03 UTC

(-4431715472978256, -5122347511536094998492)
(-3820143103483736, -149488422239763023013332)
(-3201512593098776, 190285195150077395106028)
(-2988655395691376, 198005667805352072336428)
(-2343826019650136, -208729295603149517368532)
(-1672378758820856, -204740499120323528398292)
(-1440200435316248, 200508395758926657500908)
(-1329645621113336, 198036992810097414379468)
(-783613756340696, 181878836044264375182508)
(-745517558810786, -180521465087076205042232)
(-685887328886456, 178339915371765352853548)
(44716998540328, -146330292089986824946004)
(1187144369762344, -79562760397050253284692)
(1194513661055464, 79079089694129700204268)
(1384510756916644, 66456379218639645751708)
(1387646312015878, -66246022232374523209784)
(1734798583769464, 42964938311730417090268)
(1744521465191224, 42328040777980868862748)
(1760939936228374, 41257486863921142326178)
(2056333586257384, -24587158116468460123412)

X1020, t=44/17

last edited by 7fff-zip at 2026-10-04 14:09:03 UTC · history