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curve #315
y2 = x3 + x2 − 8110664060x + 287282774486064
- a-invariants
[0, 1, 0, -8110664060, 287282774486064]
- rank (lower bound)
- ≥ 10
- torsion subgroup
- trivial
- conductor (N)
2228334811149044572480824
- naive height
- 80.1061
- Faltings height
- 4.5744
- discriminant (Δ)
-1507495239760062441818147205888
- primes of bad reduction
2, 3, 29, 499, 6416093137853421131
- regulator
3063478.631645066306971260060156226632689987518323495518141
- submitted by
- Warricker-hash
- submitted at
- 2026-08-24 03:52:44 UTC
- last updated
- 2026-08-24 03:52:44 UTC
Witness: 10 independent points
(-4169, 17917134)
(-4670, 18029358)
(5190, 15662958)
(5581/4, 132898539/8)
(-6569, 18446634)
(-9966, 19160478)
(10954, 14133402)
(14122, 13249926)
(16996, 12423516)
(19171, 11783016)
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