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curve #353
y2 + xy = x3 + x2 − 50591622x + 140974764984
- a-invariants
[1, 1, 0, -50591622, 140974764984]- rank (lower bound)
- ≥ 9
- torsion subgroup
- trivial
- conductor (N)
400978105913516539110- naive height
- 64.8671
- Faltings height
- 3.2958
- discriminant (Δ)
-300733579435137404332500- primes of bad reduction
2, 3, 5, 885437561, 15095290117- regulator
192478.62997173432515454456611896755041888620436145110073- submitted by
- Warricker-hash
- submitted at
- 2026-08-25 14:03:07 UTC
- last updated
- 2026-08-25 15:42:47 UTC
Witness: 9 independent points
(35827/9, -1452103/27)(6330, -275958)(1074, 295908)(81453/16, -8102541/64)(12213, -1165824)(3578, 74236)(4748, 86116)(278, 356136)(-517, 408906)
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