Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #3846

y² + xy = x³ − 388702966861238x + 3089265314926402870692

a-invariants: [1, 0, 0, -388702966861238, 3089265314926402870692]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/3ℤ
conductor (N): 281507660132002053150
discriminant (Δ): -364153774371809612490421819291145521336320000
Faltings height: 7.3079
naive height: 112.4876
primes of bad reduction: 2, 3, 5, 19, 29, 79, 97, 109, 1327, 1471, 2089
regulator: 17412656.5716498270094052043089393359284730239121606571
submitted by: Maksym Voznyy
submitted at: 2026-10-03 23:01:06 UTC
last updated: 2026-10-03 23:01:06 UTC

Witness: 8 independent points log in to add more points →

(51639000436/3721, -4353933015680126/226981)
(70263661492/4489, 8714247843484006/300763)
(4277657218/961, 1133262822825952/29791)
(1551570892/49, -51489545382794/343)
(-41757128372/1849, -1485438420499922/79507)
(4916384665642/146689, -9353137487536508056/56181887)
(48834468805756/3222025, 150729948295144920094/5783534875)
(-58334606/25, -7889279600032/125)

Commentary

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-03 23:01:06 UTC · history

Log in to edit commentary.