Elliptic Curve Rank Leaderboard

curve #468

y2 = x3 − x2 − 17449247001x + 886897187503101
a-invariants
[0, -1, 0, -17449247001, 886897187503101]
rank (lower bound)
≥ 10
torsion subgroup
trivial
conductor (N)
103960450146591440449080
discriminant (Δ)
223406848947019141867454956800
Faltings height
4.5978
naive height
82.3613
primes of bad reduction
2, 3, 5, 11, 37, 2128592345343805087
regulator
8257998.187440016155385281368906544380995728645652875280257
submitted by
benvchurch
submitted at
last updated

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Commentary

Found on 2026-08-30 using the Mestre--Fermigier quartic construction with sextuple [0,4,17,18,26,31] and shift T=38.

last edited by benvchurch at · history

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