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curve #370
y2 + xy = x3 − x2 − 49868394x + 160512600824
- a-invariants
[1, -1, 0, -49868394, 160512600824]
- rank (lower bound)
- ≥ 10
- torsion subgroup
- trivial
- conductor (N)
177302844833678417419866
- naive height
- 65.1263
- Faltings height
- 3.4213
- discriminant (Δ)
-3191451207006211513557588
- primes of bad reduction
2, 3, 281, 200467, 6476348693453
- regulator
3187095.364021514763395247218037446102840276020157725381384
- submitted by
- Warricker-hash
- submitted at
- 2026-08-26 06:05:40 UTC
- last updated
- 2026-08-26 06:05:40 UTC
Witness: 10 independent points
(-602, 436552)
(-458927/169, -1151021399/2197)
(4075, -160007)
(6866, -379940)
(3190, -185678)
(394954, 247973218)
(25873, -4036550)
(131, 392340)
(-428, 426568)
(-508, 431200)
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