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curve #767

y² = x³ − 101647x + 12379090

a-invariants: [0, 0, 0, -101647, 12379090]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 1022298908216
discriminant (Δ): 1014120516950272
Faltings height: 1.7033
naive height: 46.2014
primes of bad reduction: 2, 31, 4122173017
regulator: 383.1704853752093728781597729239794604435783925690192
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:21:17 UTC
last updated: 2026-09-18 12:21:17 UTC

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

(167, 248)
(-19, 3782)
(-143, 4898)
(229, 1054)
(291, 2728)
(198, 124)
(353, 4526)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:21:17 UTC · history

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