curve #1908

y² + xy = x³ − 2989806201437063120537582346x + 62923591421774788114221127970660801865252

a-invariants: [1, 0, 0, -2989806201437063120537582346, 62923591421774788114221127970660801865252]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/7ℤ
conductor (N): 5975263329251533086
discriminant (Δ): -6547920534483176723145521964268231062540216273421850134096972635728885248425984
Faltings height: 14.3691
naive height: 201.4086
primes of bad reduction: 2, 3, 7, 11, 31, 37, 109, 14783, 6997817
regulator: 107267.603459289748189329697399378854421910997800
submitted by: dujella
submitted at: 2026-09-25 18:16:19 UTC
last updated: 2026-09-25 18:16:19 UTC

(6853784163492, 206770538800519125222)
(30065337157044, 14520823416137528742)
(32052598075764, 4730940164143391142)
(30446686071732, 10862750159321762982)
(18923480796347904/11449, 294994843954559765609898354/1225043)

found by Dujella - Eroshkin (2009)

last edited by dujella at 2026-09-25 18:16:19 UTC · history