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curve #3443

y² + xy + y = x³ − 16447594952910x + 25674479247623857532

a-invariants: [1, 0, 1, -16447594952910, 25674479247623857532]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/3ℤ
conductor (N): 6645836912878238
discriminant (Δ): 65843622983903576094463382407388564
Faltings height: 6.0947
naive height: 102.9072
primes of bad reduction: 2, 23, 31, 37, 61, 103, 139, 233, 619
regulator: 31811.16306441463862962868987379055059588301277242602
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:34:29 UTC
last updated: 2026-09-27 05:34:29 UTC

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

(3338227, -2824624185)
(1032305992/441, -10164163073/9261)
(19760596/9, 10298959357/27)
(2163847, 463718107)
(47108614/25, -146554022523/125)
(115293599/49, -10804169419/343)
(2338417, -9102093)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-27 05:34:29 UTC · history

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