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curve #3440

y² + xy + y = x³ − 955060908095x + 359247468378682722

a-invariants: [1, 0, 1, -955060908095, 359247468378682722]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/3ℤ
conductor (N): 4691836355650202
discriminant (Δ): 232312385560134976172082034235504
Faltings height: 5.4512
naive height: 94.3687
primes of bad reduction: 2, 11, 37, 43, 47, 97, 337, 2029
regulator: 14862.28830340710272877497154218392485462021204388330
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:33:59 UTC
last updated: 2026-09-27 05:33:59 UTC

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

(343939, 267130736)
(-1081573, 356899580)
(12314836/25, 11369425501/125)
(528882, 45231300)
(563411, 336032)
(559667, 5583040)
(296829755/529, -51514362808/12167)

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 05:33:59 UTC · history

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