curve #1229

y² + xy = x³ + x² − 3452523650433x + 2558284848943524873

a-invariants: [1, 1, 0, -3452523650433, 2558284848943524873]
rank (lower bound): ≥ 15
torsion subgroup: trivial
conductor (N): 6450751441436292258960621122114716590
discriminant (Δ): -193522543243088767768818633663441497700
Faltings height: 6.1128
naive height: 98.2949
primes of bad reduction: 2, 3, 5, 422368391, 509093607925495562550325183
regulator: 261654713429.19523581205466767496778479590535255452037996604303377559
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:36:10 UTC
last updated: 2026-09-24 14:36:10 UTC

(1112104, -307384667)
(494436, 985707363)
(1586154, -1036473567)
(-720557, 2161820587)
(1093029, -301267587)
(1631799, 1125934143)
(235424, 1325976643)
(770379, -596825742)
(889754, -437221367)
(1918659, -1732184862)
(1272554, 474263713)
(2168829, 2295029013)
(1074804, -299063037)
(-81916, -1685352797)
(4380084, 8451712713)

From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 14:36:10 UTC · history