curve #1894

y² + xy = x³ + 2721419042645095050024690463410x + 70269004493489754502184256716133269311066066692

a-invariants: [1, 0, 0, 2721419042645095050024690463410, 70269004493489754502184256716133269311066066692]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/9ℤ
conductor (N): 929023127886635671890
discriminant (Δ): -2134390583026296409144402019777223370553189169900439125775519221217895857595128020467712000000000
Faltings height: 17.1629
naive height: 229.2605
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 43, 4339, 719981
regulator: 70446.37491727441124221125994312430148699111303
submitted by: dujella
submitted at: 2026-09-25 17:44:34 UTC
last updated: 2026-09-25 17:44:34 UTC

(-1755829888879476, -245107199875348858468062)
(-2099693655522576, -235155076594372628504562)
(3412344195582694979150364/648669961, 7925940328633136022396959079148665642/16520975236709)
(6137687416909118095005788/4437291769, 81849725536339042483475587066252405370/295581316608397)

found by van Beek (2015)

last edited by dujella at 2026-09-25 17:44:34 UTC · history