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curve #776

y² + y = x³ − 2917747x + 2367256296

a-invariants: [0, 0, 1, -2917747, 2367256296]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 48891627275709988459
discriminant (Δ): -831157663687069803803
Faltings height: 2.7281
naive height: 56.6931
primes of bad reduction: 17, 2875978075041764027
regulator: 558360.1510373588121729015105383838891256400499724210071235
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:38:12 UTC
last updated: 2026-09-18 12:38:12 UTC

Witness: 10 independent points log in to add more points →

(324, 38156)
(86, 46010)
(1089, 21938)
(545, 30642)
(4557, 289314)
(-2005, 12537)
(2874, 133118)
(1446, 34229)
(2347, 91910)
(1667, 46214)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:38:12 UTC · history

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