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curve #4336

y² + xy + y = x³ − 2061579035x + 36028884975402

a-invariants: [1, 0, 1, -2061579035, 36028884975402]
c-invariants: [98955793657, -31129105052438029]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 36902294292122
discriminant (Δ): -12384350528789105833880116
Faltings height: 3.9605
naive height: 75.9538
primes of bad reduction: 2, 7, 73, 139, 181, 421, 487
regulator: 4087.3510511383084216188109205377433213514323902338
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:05:20 UTC
last updated: 2026-10-17 10:05:20 UTC

Witness: 6 independent points log in to add more points →

(26457, 57800)
(25905, 75878)
(48836, 7174322)
(112318/9, 94310435/27)
(17156399/625, 5252499218/15625)
(13563155/484, 5317761989/10648)

Commentary

BASE torsion/torsion_Z3.tsv.gz:497 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:05:21 UTC · history

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