curve #3848

y² + xy + y = x³ − 60293780561313452613x + 180522290575592911264615262656

a-invariants: [1, 0, 1, -60293780561313452613, 180522290575592911264615262656]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/3ℤ
conductor (N): 5938577520389452470016258410
discriminant (Δ): -50087471705937127987413482501431470195391808462014832250000
Faltings height: 10.1495
naive height: 148.2544
primes of bad reduction: 2, 3, 5, 7, 13, 17, 29, 41, 43, 47, 61, 73, 1327, 1287363037
regulator: 1517981309.5490326678420743101186995759531524738737975547
submitted by: Maksym Voznyy
submitted at: 2026-10-03 23:58:17 UTC
last updated: 2026-10-03 23:58:17 UTC

(14168971444519100/2411809, -638604467402564237266476/3745539377)
(9553499975, -690256545978738)
(4571933051554520/1038361, 21345740019961280413533/1058089859)
(-23313275666685385/5202961, -7127893592287399382508198/11867954041)
(-307772314561900/39601, -3340507948480997259687/7880599)
(-71717334895008025/16736281, 41092661624605025928004602/68468125571)
(30373385187416975/7198489, -679601288040316278488406/19313545987)
(72403734115175/10201, 341924772950402206662/1030301)
(83047262368801550/124609, -23930892778686528905698401/43986977)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-03 23:58:17 UTC · history