curve #4893

y² = x³ + x² − 329783264224318336x + 72804724665274413045804164

a-invariants: [0, 1, 0, -329783264224318336, 72804724665274413045804164]
c-invariants: [15829596682767280144, -62903282205774672968178478528]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 170807305680654899629384271788080
discriminant (Δ): 5611216435452393888862847909133917608177518115046400
Faltings height: 8.8329
naive height: 132.6252
primes of bad reduction: 2, 3, 5, 7, 61, 71, 83, 89, 109, 239, 877, 65269, 2131129921
regulator: 227685029.342645333218006426950578514989953044834281172263625
submitted by: Ritik Jain
submitted at: 2026-10-20 22:31:55 UTC
last updated: 2026-10-20 22:31:55 UTC

(288939254, 1280525634720)
(321362114, 114467916780)
(-558896818, 9085118181552)
(17891000, -8179871574642)
(361077314, -896428432620)
(506302079, 5968346208930)
(318047054, -299730044880)
(5028747314, -354376743697620)
(369272624, -1174583771550)
(301013960, -900029997198)
(-65952806899/100, -1851032983210299/1000)

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