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curve #1549

y2 + xy + y = x3 − x2 − 7158872532911966781287x + 233004072541050589930826229991199
a-invariants
[1, -1, 1, -7158872532911966781287, 233004072541050589930826229991199]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
206461952006310
discriminant (Δ)
27184780103318366572187508150309202485651415585328403714624000000
Faltings height
11.3023
naive height
162.5815
primes of bad reduction
2, 3, 5, 7, 11, 13, 23, 29, 107, 163, 197
regulator
205.41162012940134158563937627178727563007090
submitted by
Michael Rubinstein
submitted at
last updated

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Commentary

Torsion Z/6+Z/2. 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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