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curve #1550

y2 + xy = x3 − 8369487776175x + 9319575518172005625
a-invariants
[1, 0, 0, -8369487776175, 9319575518172005625]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
2676208470 ☆ record for ℤ/2ℤ × ℤ/6ℤ torsion, rank ≥ 3
discriminant (Δ)
46367070089839400992758295329000000 ☆ record for ℤ/2ℤ × ℤ/6ℤ torsion, rank ≥ 3
Faltings height
5.9641 ☆ record for ℤ/2ℤ × ℤ/6ℤ torsion, rank ≥ 3
naive height
100.8804
primes of bad reduction
2, 3, 5, 13, 23, 61, 67, 73
regulator
69.042775134803058936173231495839290549379704
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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