curve #6203

y² = x³ + x² − 1116592945337556347225x + 14338317956823758784046296920619

a-invariants: [0, 1, 0, -1116592945337556347225, 14338317956823758784046296920619]
c-invariants: [53596461376202704666816, -12388306715017306357673216767415680]
rank (lower bound): ≥ 18
torsion subgroup: trivial
conductor (N): 187513651820889163172913872998748389498055470007497272
discriminant (Δ): 283573943433796413387412655779990697143265029907018326408549632
Faltings height: 10.8747
naive height: 157.0073
primes of bad reduction: 2, 3, 7, 8123, 137406461825686882025842165543128850396914896273
regulator: 6264682230067070.5198631283727603809970483152889219069170427471918598316479
submitted by: Andrii Prokhorenkov
submitted at: 2026-10-30 16:39:46 UTC
last updated: 2026-10-30 16:39:46 UTC

(-27165792011/4, -37187829172083537/8)
(-36575916026, -2499510726623337)
(-4409007776675/121, -3430974365476948122/1331)
(112910649643, -36438167416702590)
(136106945479, -48823735224139218)
(141448382585005568431/7018920841, 84340875433570934019072363846/588038169138139)
(16828397965, -559969017607062)
(2825342417013295/97969, -75872573732755050355314/30664297)
(331451694781/4, -177227154950119701/8)
(4358936440221157/174724, -103516771861931977410855/73034632)
(45185024067, -7492575523082286)
(45316666946128159/63001, -9636652299985522476692202/15813251)
(511615271109181/1156, 11540109997639085509269/39304)
(56698026379, -11545342369544382)
(592007910877, 454792603287888666)
(6093273798865/64, -14216951284770141369/512)
(6835833943, 2650453381265550)
(93443063743, 26942688866256030)

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