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curve #268
y2 + y = x3 − 139x + 72
- a-invariants
[0, 0, 1, -139, 72]
- rank (lower bound)
- ≥ 5
- conductor (N)
169624549
- naive height
- 26.4170
- Faltings height
- 0.2689
- discriminant (Δ)
169624549
- primes of bad reduction
169624549
- regulator
35.3896568664547593227940181456507374000908820081
- submitted by
- Warricker-hash
- submitted at
- 2026-08-12 19:19:04 UTC
- last updated
- 2026-08-12 19:19:04 UTC
Witness: 5 independent points
(32, 168)
(154, 1905)
(23/49, 743/343)
(65/4, 363/8)
(-12, -4)
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