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curve #1244

y² + xy + y = x³ + x² − 117880330x + 797545137431

a-invariants: [1, 1, 1, -117880330, 797545137431]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/2ℤ
conductor (N): 99939775325826
discriminant (Δ): -169985203111102534058131968
Faltings height: 3.7296
naive height: 68.3329
primes of bad reduction: 2, 3, 23, 73, 109, 193, 409, 1153
regulator: 4570.815337786965642839389852091473925397215458975381
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:38:42 UTC
last updated: 2026-09-24 14:38:42 UTC

Witness: 7 independent points log in to add more points →

(-959, 954267)
(793, 838987)
(6403, 549357)
(42301, 8434951)
(360769/81, 436318651/729)
(1107319/25, 1132424637/125)
(1554049/529, 8381851877/12167)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 14:38:42 UTC · history

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