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curve #2663

y2 + xy + y = x3 − x2 − 2291x + 42666
a-invariants
[1, -1, 1, -2291, 42666]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/2ℤ
conductor (N)
6867
discriminant (Δ)
3819610809
Faltings height
0.7098
naive height
34.8234
primes of bad reduction
3, 7, 109
regulator
2.36382840710066653316567366613245420760109
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

2-isogenous to curve#1429 via the rational 2-torsion point x=-13. 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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