curve #3920

y² + xy + y = x³ − x² − 7415316186790331568014992525442x + 7494856583895643931186611600492073045085427841

a-invariants: [1, -1, 1, -7415316186790331568014992525442, 7494856583895643931186611600492073045085427841]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/3ℤ
conductor (N): 574717951812132577278540109993327189401330
discriminant (Δ): 1829020599669968872629118349873088525247224226182758995081170596310589511342058635402688000000
Faltings height: 16.6613
naive height: 224.8569
primes of bad reduction: 2, 3, 5, 7, 11, 23, 29, 31, 43, 47, 67, 71, 83, 103, 173, 132300877, 304587693583
regulator: 5474817471095.50495006968131682819192951584841858054020624583
submitted by: Maksym Voznyy
submitted at: 2026-10-04 22:27:01 UTC
last updated: 2026-10-04 22:27:01 UTC

(586343597948069209/169, -337015495360600904561734437/2197)
(1272363154965346056271207895486401/696230020196728081, 3973424371412047079863488068664758349041690078169/580937107506160515928171271)
(774328365326411323095081/13184161, 680657276809162343847615299547315649/47871688591)
(8678145921115271651121/1437601, -736767611890321750754958818077039/1723683599)
(303354897712532763557582587333561869/152172372002999456689, 47290370868273589300602965220093624912080385787168943/1877170477637664223714129308137)
(1689204857429201961/841, 647086726714466122703454971/24389)
(229132557579308948499788092065/87400828043281, 63675594815023082174400015873177816509361127/817096444644975187321)
(8293971198908086161715579881/4061397814681, -241168254686949743111424517608644266846291/8184898463346287171)
(264134394245344806201/11881, -4261918611549047791536285058469/1295029)
(129913414776823391359/49729, -855559852149533336303253067937/11089567)
(361974810922966252017843065121/100927118970001, -166708398044478560912037139442025491561859289/1013938968025253576249)

Eroshkin - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-04 22:27:01 UTC · history