curve #4990

y² + y = x³ + 22268

a-invariants: [0, 0, 1, 0, 22268]
c-invariants: [0, -19239768]
rank (lower bound): ≥ 4
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 97950609
discriminant (Δ): -214217981883
Faltings height: 0.8531
naive height: 33.5450
primes of bad reduction: 3, 3299
regulator: 57.97883321413911114139845074323668680619412664
submitted by: The Wren
submitted at: 2026-10-21 01:21:56 UTC
last updated: 2026-10-21 01:21:56 UTC

Witness: 4 independent points log in to add more points →

(-6, 148)
(57/4, 1265/8)
(48, 364)
(94, 923)

Commentary

Rational 3-isogeny partner of Daniel Błażewicz's curve #4989: https://elliptic-rank.icarm.cloud/curve/4989. Points transported by the rational 3-isogeny and reduced with PARI/GP. Four rational points checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion trivial.

last edited by The Wren at 2026-10-21 01:21:56 UTC · history