curve #4185

y² + xy = x³ − x² − 7371127095378444x + 245236064869162656090684

a-invariants

[1, -1, 0, -7371127095378444, 245236064869162656090684]

c-invariants

[353814100578165321, -211883958454793082260607045]

rank (lower bound)

≥ 16

torsion subgroup

trivial

conductor (N)

19380133471864608167885950546416104886362689566

discriminant (Δ)

-348842402493562947021947109835489887954528412188

Faltings height

7.9512

naive height

121.2362

primes of bad reduction

2, 3, 65921, 1698539341, 3205262531135079941329970828689

regulator

70807535313902.79568339887060533291818156224052596026842536082841819281

submitted by

Andrii Prokhorenkov

submitted at

2026-10-11 23:04:21 UTC

later contributions

(14790532206/25, -1780842132379386/125)
(-91871766, 383449252908)
(2857204215, -152658895660077)
(-28447698, 657209590500)
(41390409, 105101795103)
(7729806198/169, -135075251938284/2197)
(256835517/16, -23168986428645/64)
(17724669277760341/308669761, -576882418243898928779500/5423019031009)
(140838561612/1849, 28186315413445974/79507)
(36602633134/9, 7001145224368780/27)
(711463384990/9409, 316399458991149284/912673)
(32803266089477325/45010681, 5901634276271049811061988/301976658829)
(49400422, 40671091140)
(284048779596/625, 148859158997184906/15625)
(23582213935/484, -446653147521799/10648)
(42228473109974118/69172489, 8596070941775937852991710/575307591013)

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