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curve #2538

y2 + xy = x3 − x2 − 8x + 6
a-invariants
[1, -1, 0, -8, 6]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ
conductor (N)
238
discriminant (Δ)
28322
Faltings height
-0.4513
naive height
17.9214
primes of bad reduction
2, 7, 17
regulator
0.3209834542078720818983637322673382940906
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

2-isogenous to curve#1808 via the rational 2-torsion point x=0. 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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