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curve #3929

y2 = x3 − x2 + 16x − 180
a-invariants
[0, -1, 0, 16, -180]
c-invariants
[-752, 150976]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/2ℤ
conductor (N)
24
discriminant (Δ)
-13436928
Faltings height
0.0478
naive height
23.8498
primes of bad reduction
2, 3
regulator
1
submitted by
Odbayar Shinebayar
submitted at
last updated

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Commentary

Unlisted rational-isogeny neighbor of curve#899 (source contributor: David Renshaw). Source equation and witness provenance are credited to that entry. Exact rank 0: 0 independent points certified by the unchanged ICARM verifier, with a matching unconditional upper bound computed using PARI/GP 2.17.2 ellrank. This is an additional representative of a known isogeny class, not a claim of a new world rank record.

last edited by Odbayar Shinebayar at · history

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