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curve #1616

y2 + xy = x3 − 27689044910707362902168631x + 56080267558921183906607609181152663145
a-invariants
[1, 0, 0, -27689044910707362902168631, 56080267558921183906607609181152663145]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
1925633257466534070
discriminant (Δ)
1053698201007085861667151974990079048174942332696486707524331928654400
Faltings height
13.0209
naive height
187.3628
primes of bad reduction
2, 3, 5, 7, 13, 29, 37, 43, 67, 97, 983, 2393
regulator
8791.708433537412727166536359217655631734957305
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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