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curve #1660

y² + y = x³ + x² − 36404776614830x + 61515189014782214984

a-invariants: [0, 1, 1, -36404776614830, 61515189014782214984]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/5ℤ
conductor (N): 35544952681095
discriminant (Δ): 1453102281476964125482279857167648103553125
Faltings height: 6.7980
naive height: 105.2908
primes of bad reduction: 3, 5, 11, 13, 23, 73, 9869609
regulator: 631.255864797874012907126073664924824484521200171
submitted by: Michael Rubinstein
submitted at: 2026-09-25 02:36:19 UTC
last updated: 2026-09-25 02:36:19 UTC

Witness: 5 independent points log in to add more points →

(1218121, 4356287227)
(776836, 5805467167)
(48691846, 337242046927)
(29374951, 156010938037)
(408701659/49, 6307280362426/343)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 02:36:19 UTC · history

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