curve #5448

y² = x³ − 64259403224658222083756060892433292244

a-invariants: [0, 0, 0, 0, -64259403224658222083756060892433292244]
c-invariants: [0, 55520124386104703880365236611062364498816]
rank (lower bound): ≥ 17
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 166700957528570161370331561792365459958429300339280355086852540995984
discriminant (Δ): -1783845030004941100647662362509010821143400288313664873917565062520754959991552
Faltings height: 13.6939
naive height: 187.6351
primes of bad reduction: 2, 3, 7, 79, 3323, 7021367, 2626924397, 31744104551
regulator: 59422210456967553246.7190389309316828818860794092410463116051196617038893
submitted by: wgxli
submitted at: 2026-10-22 03:58:59 UTC
last updated: 2026-10-22 03:58:59 UTC

(4100449369557, 2164315357328482107)
(5648173550670, 10766980255709299734)
(12716693196445, 44634197152451668391)
(14802761550262, 56385703908934794478)
(41300715280062, 265300580094188587578)
(70683584227725, 594207773870276500641)
(18920947316313/4, 51586237067557959459/8)
(581955216740310, 14038938697338011470734)
(1660932261302965, 67690524318132215278891)
(36889336906093/9, 57920287541513453441/27)
(2869434760791837, 153707313521230741321497)
(51198841036126/9, 295573186863700684750/27)
(64359648424785/16, 58152604214888541351/64)
(7529667700008405, 653376808820442915500859)
(133719103631785/4, 1544956882693017006997/8)
(68349890417305/16, 236863212528743496899/64)
(575644708692894/121, 8769840937080811919010/1331)

Isogenous to curve #5446

last edited by wgxli at 2026-10-22 03:59:00 UTC · history