curve #1230

y² + xy = x³ − x² − 2210571130630x + 1328597747095485400

a-invariants: [1, -1, 0, -2210571130630, 1328597747095485400]
rank (lower bound): ≥ 15
torsion subgroup: trivial
conductor (N): 7121083963624023427016681231107700210
discriminant (Δ): -71210839636240234270166812311077002100
Faltings height: 6.0187
naive height: 96.9845
primes of bad reduction: 2, 5, 10456348181, 3162962932049, 21531385071809
regulator: 317746328144.37531519370266212250263727486265456702643217097292904232
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:36:20 UTC
last updated: 2026-09-24 14:36:20 UTC

(-28805, 1179950565)
(1742263, -1663941876)
(666510, 388661740)
(1655100, -1485343480)
(978733, -320777286)
(278010, 857488000)
(392950, -721742730)
(-1682309, 535864224)
(1148990, -553334820)
(-1461275, -1198665870)
(760343, -295973891)
(-759257, 1603282973)
(696490, -356470170)
(-49332, -1198945552)
(-504337, 1521826788)

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

last edited by Michael Rubinstein at 2026-09-24 14:36:20 UTC · history