curve #5552

y² + y = x³ − 1276990756219504729293408444644467567

a-invariants: [0, 0, 1, 0, -1276990756219504729293408444644467567]
c-invariants: [0, 1103320013373652086109504896172819977672]
rank (lower bound): ≥ 17
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 60445608036902670696241152131248050222480029860045802394167695274361
discriminant (Δ): -704464729115067024390768521060129420023048625044590585056282470432031584803
Faltings height: 13.0408
naive height: 179.7983
primes of bad reduction: 3, 73, 35500809858551871431466078540049
regulator: 54131459523262041959.0108321074223614678415385184600838819350888539022277
submitted by: wgxli
submitted at: 2026-10-23 02:07:24 UTC
last updated: 2026-10-23 02:07:24 UTC

(1197341458743, 662985498325507384)
(1459166772099, 1352708378889461788)
(2390326358313, 3518596535758144294)
(2715117262023, 4328796406051621399)
(5252683053229, 11985328639952621058)
(23718147452697, 115504888029477852982)
(34907840873949, 206242404066779766061)
(10382036378137/9, 13715646717473025418/27)
(15591575068687/9, 53472817263578640605/27)
(17312144626801/9, 65251074254802585346/27)
(31818603161797/9, 176869939630697861158/27)
(81901905392551/9, 740581309189699231877/27)
(422129328996189/361, 3891453237151217365342/6859)
(4853456623807777/16, 338124561305907390783663/64)
(2755451214521301/25, 144640156226793808857674/125)
(682815438075171/625, 2566797055301870542219/15625)
(176054375309235853/10201, 73861187362522054056727089/1030301)

Isogenous to curve #5551

last edited by wgxli at 2026-10-23 02:07:24 UTC · history