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curve #3454

y² + xy + y = x³ − 2868867248090800x + 59144422102587499373742

a-invariants: [1, 0, 1, -2868867248090800, 59144422102587499373742]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/3ℤ
conductor (N): 60043617650386502762
discriminant (Δ): -14828918299984568256464127905655396180976
Faltings height: 7.3200
naive height: 118.3917
primes of bad reduction: 2, 7, 19, 31, 43, 61, 113, 181, 227, 229, 373
regulator: 332063.395026845275606758606493884562886955816815383017
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:37:42 UTC
last updated: 2026-09-27 05:37:42 UTC

Witness: 8 independent points log in to add more points →

(32488005, -15207647377)
(29241741, -16069530469)
(-2983179, -260145040693)
(56534405, 278623009071)
(-6845035, -280105838517)
(-52636251, 253636575179)
(57179342805/1849, -2646547957759/79507)
(772785561/25, 13268528419/125)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-27 05:37:42 UTC · history

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