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curve #2720

y2 = x3 − 100396x + 11684400
a-invariants
[0, 0, 0, -100396, 11684400]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/2ℤ
conductor (N)
279616
discriminant (Δ)
5784446990024704
Faltings height
1.7821
naive height
46.1642
primes of bad reduction
2, 17, 257
regulator
20.637741636575293647898939040224462110855782
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

2-isogenous to curve#1523 via the rational 2-torsion point x=-300. 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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