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curve #2560

y2 + xy = x3 − 6115x − 24400
a-invariants
[1, 0, 0, -6115, -24400]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/2ℤ
conductor (N)
1785
discriminant (Δ)
14387797265625
Faltings height
1.2146
naive height
37.7691
primes of bad reduction
3, 5, 7, 17
regulator
0.5059128678127379779529255244855486179114
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

2-isogenous to curve#2077 via the rational 2-torsion point x=38. 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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