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curve #2577

y2 + xy = x3 − 173039570x + 782524080900
a-invariants
[1, 0, 0, -173039570, 782524080900]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/8ℤ
conductor (N)
249690
discriminant (Δ)
67058993610000000000000000
Faltings height
3.6872
naive height
68.5207
primes of bad reduction
2, 3, 5, 7, 29, 41
regulator
2.372807309150949139520127931941520031558
submitted by
Natanael Wildner Fraga
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

2-isogenous to curve#1079 via the rational 2-torsion point x=-76321/4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.

last edited by Natanael Wildner Fraga at · history

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