curve #1939

y² + xy = x³ − 175743527201228400282498060739701250x + 20803849458555294950424936016610860362724265150562500

a-invariants: [1, 0, 0, -175743527201228400282498060739701250, 20803849458555294950424936016610860362724265150562500]
rank (lower bound): ≥ 12
torsion subgroup: ℤ/3ℤ
conductor (N): 102239399843866223336650551643119329058929454030
discriminant (Δ): 160420875637753849732365158462055016708735647209857876355418517342939229785892284707199383257475710976000000
Faltings height: 19.2791
naive height: 255.0766
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 23, 37, 61, 103, 167, 277, 349, 23719, 190646007907, 513064138747
regulator: 55269791172.358757607282914237730689953932522574894696732123830
submitted by: dujella
submitted at: 2026-09-25 19:51:29 UTC
last updated: 2026-09-25 19:51:29 UTC

(-108212670932578300, -196352635505106128499591250)
(-16542899935774300, -153969574222170994538391250)
(124581701919311780, 29034540708690231081935150)
(130318772010699140, 10694400725859072288686510)
(360836588756154500, 66114875395366478228792750)
(339527957979473252, 16568993223134663229659246)
(127894161601844900, 20475168349275158351586350)
(385292962859755940, 101430284116503616047618350)
(430067471555210660, 157374417710882686291458350)
(339634887877876580, 17109393234921867137903150)
(381428248756958756, 96246295335682811109175982)
(-340810441652884060, -202764264265230561863534290)

found by Eroshkin - Siddiq - Voznyy (2023)

last edited by dujella at 2026-09-25 19:51:29 UTC · history