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curve #2575

y2 + xy + y = x3 − x2 − 176x − 768
a-invariants
[1, -1, 1, -176, -768]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ
conductor (N)
117
discriminant (Δ)
62462907
Faltings height
0.2309
naive height
27.1197
primes of bad reduction
3, 13
regulator
0.2825839065448877516621881274701594809949
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

2-isogenous to curve#1138 via the rational 2-torsion point x=5. 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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