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curve #2677

y2 = x3 − x2 − 289x + 289
a-invariants
[0, -1, 0, -289, 289]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/2ℤ
conductor (N)
3264
discriminant (Δ)
1534132224
Faltings height
0.4523
naive height
28.6163
primes of bad reduction
2, 3, 17
regulator
2.45090362517594440325204525216302401805645
submitted by
Natanael Wildner Fraga
submitted at
last updated

Witness: 2 independent points log in to add more points →

Commentary

2-isogenous to curve#1426 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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