curve #2016

y² = x³ − x² − 29797021265017436449821856011551140x + 1979714607796490905256544266377400528772910804668100

a-invariants: [0, -1, 0, -29797021265017436449821856011551140, 1979714607796490905256544266377400528772910804668100]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 4659990065511415833093434527107313388040
discriminant (Δ): 37444453548887099615956633075279695384435779598431442134254573318016565520257133483500720177025440000
Faltings height: 18.4438
naive height: 249.7528
primes of bad reduction: 2, 3, 5, 7, 11, 17, 19, 23, 43, 61, 83, 157, 199, 277, 349, 571, 619, 11677, 25014413
regulator: 5329414264839947.62937353991824939627534093596839938392056625
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:01:06 UTC
last updated: 2026-09-26 05:01:06 UTC

(1635170664867066994/9, -1367012517430167116484033520/27)
(10593275587319963468050/85849, 339111680728129185612197540065680/25153757)
(1441987883963814347705/10816, 21836052079526707962074209333875/1124864)
(51212457254422639753/144, -329521504537790114570319446819/1728)
(159263309184052522901186/96721, 63222455934640328170016207725064640/30080231)
(92243213779408575750337/913936, 593383405779682938739547907965433/873722816)
(10456416529466843265421825/87385104, -9225413026793955032809843534418269145/816875952192)
(13105214273528788108960542337/109881642256, -403034662539770654675464082423270984188953/36424006301587904)
(458541098155493436693560856857/4569487668496, 3379258894998752686987148704375575405602997/9767901341733115456)
(128311697709064629898695634/506565049, 1178456149617053271044446551664287699120/11401259557843)
(25543503174858602102085200705345/236001736073104, -17229429638555197348560541356131924702080613625/3625540798159177088192)

2-isogenous partner of curve#1098 (Dujella - Peral (2014)).

last edited by Steps Unbounded at 2026-09-26 21:40:45 UTC · history