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curve #2588

y2 + xy + y = x3 − x2 + 98x + 126
a-invariants
[1, -1, 1, 98, 126]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/4ℤ
conductor (N)
205
discriminant (Δ)
-70644025
Faltings height
0.1948
naive height
25.3781
primes of bad reduction
5, 41
regulator
1.602601397324700955066904509537931569839
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

2-isogenous to curve#2073 via the rational 2-torsion point x=1. 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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