curve #4385

y² = x³ − 94351638785298461088825x + 11155026480073932948124453146781000

a-invariants: [0, 0, 0, -94351638785298461088825, 11155026480073932948124453146781000]
c-invariants: [4528878661694326132263600, -9637942878783878067179527518818784000]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 7205437693496481352981077600
discriminant (Δ): 415820740139254317279354259991076953727689179794713760306225000000
Faltings height: 11.7961
naive height: 170.3175
primes of bad reduction: 2, 3, 5, 31, 37, 43, 79, 257, 263, 3323, 5237, 218357
regulator: 24798659103586.276344156063253920774862955462158227923235
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:21:02 UTC
last updated: 2026-10-17 10:21:02 UTC

(46763217594185972345/145902241, -207325229351746138924348755000/1762353169039)
(120153940437716609/659344, -1914955718449366083692223/535387328)
(19906722590668807784529/111261606481, 42000507647666632092224739723908/37112310196195879)
(371811280271558087061105/2073853447744, 4192947873076094005939606901168375/2986531463854761472)
(823553624421301471707439049/4634665006483876, -47387568830462180752241856742679207043/315520457676121735297624)
(4471488948609958499235394947505/23475925896711491889, 1102304274165667788318875289222474471822425500/113745466171522558405434389463)
(6487288297339052319500785409/36435737879938576, 3270812755269688985363957921687985423873/6954907425671786176218176)
(7826235471837889715353145/43588926000481, 459599848895695100942360834446815000/287782414940041653871)
(9279627073985644225141263945/39953587870852096, 335997100669267648795630592736017774493125/7986080400947776622329856)

2-ISOG#1 records/family_Z4.md#49 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:21:02 UTC · history