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curve #3932

y2 + xy = x3 + x2 − 4267x + 2190505
a-invariants
[1, 1, 0, -4267, 2190505]
c-invariants
[204841, -1894132565]
rank (lower bound)
≥ 5
torsion subgroup
ℤ/2ℤ
conductor (N)
1171856478
discriminant (Δ)
-2071263356003868
Faltings height
1.6182
naive height
42.7241
primes of bad reduction
2, 3, 13, 17, 157, 433
regulator
1633.85979137581112073116516423238385925739606364
submitted by
Odbayar Shinebayar
submitted at
last updated

Witness: 5 independent points log in to add more points →

Commentary

Unlisted rational-isogeny neighbor of curve#3905 (source contributor: 7fff-zip). Source equation and witness provenance are credited to that entry. Exact rank 5: 5 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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