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curve #2687

y2 = x3 − 11596x + 468720
a-invariants
[0, 0, 0, -11596, 468720]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/2ℤ
conductor (N)
552512
discriminant (Δ)
4884312162304
Faltings height
1.2134
naive height
39.6888
primes of bad reduction
2, 89, 97
regulator
27.247452235633422920741089602445361780519018
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

2-isogenous to curve#1527 via the rational 2-torsion point x=-108. 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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