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curve #284
y2 = x3 − 5565379300x + 170730135048100
- a-invariants
[0, 0, 0, -5565379300, 170730135048100]- rank (lower bound)
- ≥ 9
- torsion subgroup
- trivial
- conductor (N)
2189139873960434011400- naive height
- 79.0654
- Faltings height
- 4.5395
- discriminant (Δ)
-1560017851734087811815031520000- primes of bad reduction
2, 5, 7, 53, 29503232802701267- regulator
124937.28696100293499700916998929266077507202962407200813- submitted by
- Warricker-hash
- submitted at
- 2026-08-22 17:05:47 UTC
- last updated
- 2026-08-22 17:05:47 UTC
Witness: 9 independent points
(1720, 12694990)(-4111, 13911863)(-4150, 13919590)(5465, 11852365)(6326, 11652326)(6550, 11599910)(6985, 11497685)(-9935, 15001385)(-14850/49, 4503849370/343)
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