curve #682

y² + xy = x³ − 318098500949044434590x + 2184232745044344510658937276100

a-invariants: [1, 0, 0, -318098500949044434590, 2184232745044344510658937276100]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 30355091285659119385452366274277796813969930
discriminant (Δ): -1028283796752689900179545800581599453583794566319854592000000
Faltings height: 10.4952
naive height: 153.2408
primes of bad reduction: 2, 3, 5, 7, 2879, 50207729677399757497564243990601559427
regulator: 3524412910442.981954769540619766719616896486673415840280188136248101989
submitted by: 7fff-zip
submitted at: 2026-09-08 21:49:49 UTC
last updated: 2026-09-08 21:49:49 UTC

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(9827634430, 85162390589110)
(9839313052, 83220006491026)
(9859161160, 79926173272210)
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(314014780, 1443736688046610)
(991898812, 1367364529435666)
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(5492631580, 776361913182610)
(5641864030, 754416385805110)
(6606773532, 609102649898322)
(6923992780, 560057998704610)

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