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curve #1613

y2 + xy + y = x3 − 60238011x + 164765102642
a-invariants
[1, 0, 1, -60238011, 164765102642]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/6ℤ
conductor (N)
473326714 ☆ record for ℤ/6ℤ torsion, rank ≥ 4
discriminant (Δ)
2260714842776285884358468
Faltings height
3.4116 ☆ record for ℤ/6ℤ torsion, rank ≥ 4
naive height
65.3550 ☆ record for ℤ/6ℤ torsion, rank ≥ 4
primes of bad reduction
2, 7, 41, 43, 127, 151
regulator
554.1113411965318399522872924305753499696772376
submitted by
Michael Rubinstein
submitted at
last updated

Witness: 4 independent points log in to add more points →

Commentary

Torsion Z/6. 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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