curve #1914

y² + xy = x³ − 46211161865740185355x + 110998663417922709680844055025

a-invariants: [1, 0, 0, -46211161865740185355, 110998663417922709680844055025]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/6ℤ
conductor (N): 48851058662780160570
discriminant (Δ): 993143751534604679274599514380543326308533706585378816000000
Faltings height: 10.2516
naive height: 147.4529
primes of bad reduction: 2, 3, 5, 7, 19, 23, 31, 271, 277, 367, 623299
regulator: 106712.18662219713821196677718254150049156573047805
submitted by: dujella
submitted at: 2026-09-25 18:41:58 UTC
last updated: 2026-09-25 18:41:58 UTC

(-2791455490, -467163905997055)
(443358350, 300994310491745)
(1073542940, 250251834090065)
(5292480590, 121122182401745)
(-2070296240, -444741481882055)
(47432888960, 10229215180208345)

found by Dujella (2001)

last edited by dujella at 2026-09-25 18:41:58 UTC · history