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curve #143
y2 + xy = x3 − x2 − 1336456x + 594673996
- a-invariants
[1, -1, 0, -1336456, 594673996]- rank (lower bound)
- ≥ 8
- torsion subgroup
- trivial
- conductor (N)
311374862578586- naive height
- 53.9302
- Faltings height
- 2.2472
- discriminant (Δ)
172501673868536644- primes of bad reduction
2, 277, 3221, 174495029- regulator
5723.70755728757996648773821237143196032559827658967931- submitted by
- cocoxhuang
- submitted at
- 2026-06-24 02:20:48 UTC
- last updated
- 2026-07-01 22:56:22 UTC
Witness: 8 independent points
(682, -64)(-426, -32750)(-149, 28190)(2451/4, -21287/8)(2621, -124160)(-980, -30534)(5114, 354496)(1236, 28190)
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