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curve #357
y2 + xy = x3 − x2 − 1285029x + 500060929
- a-invariants
[1, -1, 0, -1285029, 500060929]- rank (lower bound)
- ≥ 8
- torsion subgroup
- trivial
- conductor (N)
57445329661714422- naive height
- 53.8125
- Faltings height
- 2.4624
- discriminant (Δ)
27918430215593209092- primes of bad reduction
2, 3, 269, 11863967298991- regulator
16970.4472469575665744613826397565330393138693828729942- submitted by
- Warricker-hash
- submitted at
- 2026-08-25 16:31:34 UTC
- last updated
- 2026-08-25 16:31:34 UTC
Witness: 8 independent points
(4219/9, -25765/27)(-145, 26213)(1142, 22253)(2588, -121723)(4517/16, 799805/64)(48293, 10585580)(420, -6067)(21, 21740)
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