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curve #4711
y2 + y = x3 + 8002
- a-invariants
[0, 0, 1, 0, 8002]
- c-invariants
[0, -6913944]
- rank (lower bound)
- ≥ 5
- torsion subgroup
- trivial
- family
- y2 = x3 + k (Mordell curves)
- conductor (N)
9221184729 ☆ record for Mordell curves, rank ≥ 5
- discriminant (Δ)
-27663554187 ☆ record for Mordell curves, rank ≥ 5
- Faltings height
- 0.6825 ☆ record for Mordell curves, rank ≥ 5
- naive height
- 31.4981 ☆ record for Mordell curves, rank ≥ 5
- primes of bad reduction
3, 32009
- regulator
218.282334053432000236004670582945471002649078444
- submitted by
- Daniel Błażewicz
- submitted at
- last updated
(-20, 1)
(-16, 62)
(20, 126)
(34, 217)
(52, 385)
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