curve #6463

y² = x³ − 74414932968057389917783x + 8097052227381763549131275142531418

a-invariants: [0, 0, 0, -74414932968057389917783, 8097052227381763549131275142531418]
c-invariants: [3571916782466754716053584, -6995853124457843706449421723147145152]
rank (lower bound): ≥ 20
torsion subgroup: trivial
conductor (N): 8275783655155874872499617601433182195211241508110173956306840
discriminant (Δ): -1949850104301659141539747103410182795813388825833310948892373022380800
Faltings height: 12.0616
naive height: 169.6768
primes of bad reduction: 2, 5, 17, 19, 47, 97, 3181, 20268107, 624840373747, 4683396705667, 744680764452175141
regulator: 4791646943075595241.22887359094181449811930424707557733527611245869834068608835
submitted by: apkorte
submitted at: 2026-11-03 19:39:58 UTC
last updated: 2026-11-03 19:39:58 UTC

(8179215609, -86538682865510410)
(-313427841381, 25110744646194980)
(62784119353, -60600837466050614)
(-230728190638, -113946237088637230)
(7162613469, -86973641351825230)
(-313204617221, 26070636102378740)
(13588562229, 84192454499938090)
(194797385241, -31511959495123606)
(-413386243748351/4761, 38735831450480298656590/328509)
(150760660209, -17458899728120210)
(1075394001177/4, -693879464239863227/8)
(246038742011, -68425626598924556)
(257202242509, 77279123196439390)
(4861303809889/25, -3912046782075662162/125)
(-272518346491, 90208487899071110)
(1163057739247/9, 682323355391129092/27)
(10437801360269, 33710618374279173730)
(6866404858921/169, -157521562383106449770/2197)
(145850864709, 18605879219408710)
(162788301309, -17235624027742510)

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