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curve #1597

y² + xy + y = x³ − 28280x + 2631530

a-invariants: [1, 0, 1, -28280, 2631530]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 35662926
discriminant (Δ): -1549514406200436
Faltings height: 1.6165
naive height: 43.0911
primes of bad reduction: 2, 3, 13, 23, 103, 193
regulator: 12.81020532007275507994361185166718667552971216
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:24:40 UTC
last updated: 2026-09-25 01:24:40 UTC

Witness: 4 independent points log in to add more points →

(-177, 1537)
(-87, 2149)
(-108, 2158)
(-777/4, 7949/8)

Commentary

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

last edited by Michael Rubinstein at 2026-09-25 01:24:40 UTC · history

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