curve #3865

y² + xy = x³ − 1515093861677759313699046766180x + 665962478148282974697135545589868975495828752

a-invariants: [1, 0, 0, -1515093861677759313699046766180, 665962478148282974697135545589868975495828752]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/3ℤ
conductor (N): 7038830486396142750889170364947276606510
discriminant (Δ): 30991780193016442081753110382978469029095119937141814740399498877384864461376814592000000000
Faltings height: 16.2986
naive height: 220.0927
primes of bad reduction: 2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 41, 53, 67, 113, 157, 727, 317729112525942907
regulator: 1805629926094.669311577576141426862565492451506776627048707
submitted by: Maksym Voznyy
submitted at: 2026-10-04 03:28:19 UTC
last updated: 2026-10-04 03:28:19 UTC

(2776575530707243243253209624/1855695093121, -105711303285518189927706760252031135597068/2527900227958057919)
(6437821868042186476/529, -16253864682668355422013735724/12167)
(791830730241190982344/904401, 2799278065843286528011949185028/860085351)
(2089020450102346139656/2424249, 1905197870264491655331942965804/3774555693)
(3164811605004064141704/1510441, 151836441463971011539136671274892/1856331989)
(87501913140990104453041/70694464, 15578609320062218961906664143396611/594399053312)
(5980327620246766821514/1666681, -437945635623718087746627997631912/2151685171)
(1181046717758094392776/677329, 32146859590648421223004205513476/557441767)
(13032093830319524704/841, 46901415052045628551276884692/24389)
(481810306342154458649286664/307923998281, 7878856363356347392920836187845260203212/170869797962111429)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-04 03:28:19 UTC · history