curve #320

y² + xy = x³ − 3487873891980168936388181335535x + 2444345666762251558502690972431521736588391097

a-invariants: [1, 0, 0, -3487873891980168936388181335535, 2444345666762251558502690972431521736588391097]
rank (lower bound): ≥ 19
torsion subgroup: trivial
conductor (N): 1944834788595180202157140540520472894152712346063322975494613160944370
naive height: 222.5941
Faltings height: 16.4561
discriminant (Δ): 134453373295489843369140613497101086804354919153960791684931108232412909602091138560000000000
primes of bad reduction: 2, 3, 5, 7, 31, 79, 6029, 41611, 76664842993, 255896893627764601, 768351481918239035748849559
regulator: 3590316083805027518.249929692087008275956694722749658868991691756378956314751
submitted by: 7fff-zip
submitted at: 2026-08-24 13:26:11 UTC
last updated: 2026-08-24 19:07:48 UTC

(367981969292434, -34795110046369780864967)
(1251393869669734, 6269585701534128922333)
(35782710204934, 48162079487881562897533)
(127487493759934, -44741003938758902787467)
(3298209322197811/4, -90867170113249219340161/8)
(8420229267492406/9, 7740734394089263545391/27)
(7775639389920934, 667415511003164443913533)
(-2117278041035066, -18375800524123949142467)
(1229080444236934, -3763590104111431566467)
(1257448325557774, -6839003599049078842427)
(-2100919495842566, 22336466039613977042533)
(1508455191769414, -24808044636819426589187)
(-25672599715616, -50337575779920976973867)
(-1640296694795066, -61254838005482379102467)
(1670154330764934, 35746500244782126577533)
(1748978369904934, -41159737568743489302467)
(11227153176968134, -1174076888917543696028867)
(-1085597011846466, 70365989517659320720333)
(2097439575033334, -65999302524506674919267)

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