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curve #1664

y² + xy = x³ − 37989785679112630x + 2411227172016348395335076

a-invariants: [1, 0, 0, -37989785679112630, 2411227172016348395335076]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/5ℤ
conductor (N): 92112876075066
discriminant (Δ): 997321737277683279829915342762561828516977790943232
Faltings height: 8.5074
naive height: 126.1419
primes of bad reduction: 2, 3, 7, 11, 19, 29, 37, 41, 238529
regulator: 298.961799399300470495354402368264893903743173345
submitted by: Michael Rubinstein
submitted at: 2026-09-25 02:42:19 UTC
last updated: 2026-09-25 02:42:19 UTC

Witness: 5 independent points log in to add more points →

(56407052, 669156976634)
(212349636620, 97853559730460666)
(994497548, 30792582932474)
(-8020276, 1647851040506)
(74239616, 7259754458)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 02:42:19 UTC · history

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