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curve #1327

y² = x³ − 119353467x + 430063995530

a-invariants: [0, 0, 0, -119353467, 430063995530]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/2ℤ
conductor (N): 24414611509584
discriminant (Δ): 28913501710174015054559232
Faltings height: 3.6091
naive height: 67.4064
primes of bad reduction: 2, 3, 19, 61, 73, 97, 283
regulator: 1305.821630218941956791772692123440679375631246178245
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:32:49 UTC
last updated: 2026-09-24 17:32:49 UTC

Witness: 7 independent points log in to add more points →

(8833, 254916)
(4177, 66348)
(15041, 1427452)
(-9863, 804852)
(63097/121, 807388812/1331)
(1849, 464436)
(22849/9, 10224964/27)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:32:49 UTC · history

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