curve #792

y² = x³ − 20005572727x + 932741657310970

a-invariants: [0, 0, 0, -20005572727, 932741657310970]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 80533656253906958708883894472
discriminant (Δ): 136585081006626201970267085024512
Faltings height: 4.8896
naive height: 82.7714
primes of bad reduction: 2, 53, 14344151, 13241485572995255603
regulator: 686685265.0681755936856614445590832738662273993648684014334671948
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:40:54 UTC
last updated: 2026-09-18 12:40:54 UTC

(49803, -7741604)
(-109303, 42585818)
(22137, -22376918)
(-77715, -44923330)
(53089, -4504894)
(34221, 16976642)
(155485, -39763250)
(109799, 7737364)
(163435, 45040460)
(-90859, -44725322)
(105771, 213908)
(123685, -18721190)
(309035, -155768980)

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

last edited by Michael Rubinstein at 2026-09-18 12:40:54 UTC · history