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curve #372
y2 + xy = x3 − x2 − 475339x + 77898769
- a-invariants
[1, -1, 0, -475339, 77898769]
- rank (lower bound)
- ≥ 8
- torsion subgroup
- trivial
- conductor (N)
193646629509731926
- naive height
- 50.8290
- Faltings height
- 2.2755
- discriminant (Δ)
4260225849214102372
- primes of bad reduction
2, 11, 1153, 10847, 703798463
- regulator
22518.0649858959313215532045051559886834815133969278532
- submitted by
- Warricker-hash
- submitted at
- 2026-08-26 06:14:21 UTC
- last updated
- 2026-08-26 06:14:21 UTC
Witness: 8 independent points
(55, -7233)
(-72, 10607)
(2387/4, -22755/8)
(6139/9, 217793/27)
(674, -8297)
(44565, -9428942)
(1856, 73815)
(-25, 9487)
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