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curve #1640

y2 + xy = x3 − 3009239193932401150x + 2250292403759815897154322500
a-invariants
[1, 0, 0, -3009239193932401150, 2250292403759815897154322500]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/8ℤ
conductor (N)
566645048606910
discriminant (Δ)
-443553923823946157238923202459179606431455370383900000000
Faltings height
9.5996
naive height
139.4849
primes of bad reduction
2, 3, 5, 7, 13, 19, 37, 97, 101, 30137
regulator
2897.894518848233385033795135185355965011404574
submitted by
Michael Rubinstein
submitted at
last updated

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Commentary

Torsion Z/8. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at · history

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