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curve #772

y² = x³ − 2905252x + 1828929700

a-invariants: [0, 0, 0, -2905252, 1828929700]
rank (lower bound): ≥ 9
torsion subgroup: trivial
conductor (N): 105032816780770568
discriminant (Δ): 124358855068432352512
Faltings height: 2.6175
naive height: 56.2597
primes of bad reduction: 2, 37, 6203, 183503, 311737
regulator: 34338.536076176386542524564766359836527474513383670441597
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:37:25 UTC
last updated: 2026-09-18 12:37:25 UTC

Witness: 9 independent points log in to add more points →

(1186, 7178)
(816, 1258)
(2962, -138602)
(-1922, 17686)
(-1552, -50986)
(446, 24938)
(1408, -23014)
(-1478, 53798)
(1482, 27898)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:37:26 UTC · history

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