curve #3916

y² = x³ + x² − 3308406614993653055509692325265x + 2306339704388484908385319612604569364689096275

a-invariants: [0, 1, 0, -3308406614993653055509692325265, 2306339704388484908385319612604569364689096275]
rank (lower bound): ≥ 21
torsion subgroup: trivial
conductor (N): 4650630984586071341631150485053615691046679785561490945578531544267560
discriminant (Δ): 19694414996817224018204363335344274782441606364465340817532723793034062940668328066324000000
Faltings height: 16.3656
naive height: 222.4357
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 37, 15991, 3886660048821863, 2505374077993157633, 20804991929476199957117
regulator: 32458770803843990451.654341912888292010415016681931958542642281103663856164328939
submitted by: 7fff-zip
submitted at: 2026-10-04 15:33:01 UTC
last updated: 2026-10-04 15:33:01 UTC

(985268951660995, 1767500158591932915150)
(993639103726270, -126323073593219077575)
(-20642758867730, 48730129776285985202175)
(1108334257255135, 1001232380145509631210)
(1137581864573155, 3859079687165363751090)
(1230359351795575, 9915097207445047447830)
(140188001022070, 42956907055509890918475)
(252568133543545, 38559734297527190242950)
(274760985879745, 37657155189285942915150)
(55123633528195, -46088347877522610579150)
(879750142443745, -8755581608764153599150)
(956903376704353, -4088555459680796057646)
(982974170300695, -2012130488390530944150)
(-325826317907705, 57876722601672028027050)
(1109002931613655, -1120676147203295965590)
(140278439123395, -42953486392324524352050)
(775605095245345, -14383956658334819760750)
(-1589496660282530, 59574979990266070955625)
(1702107421158145, -40079549072336409185550)
(8465906584298395, 762274577224080149910450)
(1832991841444708495/1849, 72321377722805843819606430/79507)

X1092, t=-313/124

last edited by 7fff-zip at 2026-10-04 15:33:01 UTC · history