curve #140

y² + xy = x³ − 3594058853231188157738x + 71746738560038807966948556541092

a-invariants: [1, 0, 0, -3594058853231188157738, 71746738560038807966948556541092]
c-invariants: [172514824955097031571425, -61989182116132302320876198398860625]
rank (lower bound): ≥ 17
torsion subgroup: trivial
conductor (N): 24091352618468926264281495356096161902461783592680683350
discriminant (Δ): 747464088265245338817901102477124982264635888574573124981104000000
Faltings height: 11.3651
naive height: 160.5143
primes of bad reduction: 2, 3, 5, 7, 19, 113, 560341, 19999489127437, 953605040366250006249550579373
regulator: 4037704385123208.71737976858006876166936162596647272177129510493826025144
submitted by: David Renshaw
submitted at: 2026-06-24 00:14:42 UTC
last updated: 2026-07-01 22:34:42 UTC

(-7569924188, 9925713157409494)
(23442191212, 613551147474094)
(50062657252, 4157993796611974)
(22198675792, 1703655989234854)
(56556047092, 7027089439562854)
(18657542812, 3344418144645694)
(20262264952, 2691054486995074)
(45585278752, 1624039153727974)
(-57042987548, 9547293955469974)
(-29035006988, 12313536888779494)
(-40783083188, 12267484430075494)
(55535939752, 6590382158179474)
(-46309488548, 11784414731841574)
(21319271812, 2194043119272694)
(50010148852, 4133188293153574)
(45092729212, 1170578797161694)
(23410910452, 661337919945574)

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