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curve #3930

y2 = x3 − x2 − 732479x + 241399368
a-invariants
[0, -1, 0, -732479, 241399368]
c-invariants
[35159008, -208358099936]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/4ℤ
conductor (N)
5245656
discriminant (Δ)
28307513583525072
Faltings height
2.0967
naive height
52.1262
primes of bad reduction
2, 3, 13, 17, 23, 43
regulator
179.68366535443249502745887001443920795411368
submitted by
Odbayar Shinebayar
submitted at
last updated

Witness: 3 independent points log in to add more points →

Commentary

Unlisted rational-isogeny neighbor of curve#3354 (source contributor: David Renshaw). Source equation and witness provenance are credited to that entry. Exact rank 3: 3 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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