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curve #4849
y2 + y = x3 − 27
- a-invariants
[0, 0, 1, 0, -27]- c-invariants
[0, 23112]- rank (lower bound)
- ≥ 3
- torsion subgroup
- trivial
- family
- y2 = x3 + k (Mordell curves)
- conductor (N)
309123 ☆ record for Mordell curves, rank ≥ 3- discriminant (Δ)
-309123 ☆ record for Mordell curves, rank ≥ 3- Faltings height
- -0.2677 ☆ record for Mordell curves, rank ≥ 3
- naive height
- 20.0962 ☆ record for Mordell curves, rank ≥ 3
- primes of bad reduction
3, 107- regulator
11.257234726730749584252467804765541331891030- submitted by
- Daniel Błażewicz
- submitted at
- last updated
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