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curve #1457

y2 + xy + y = x3 − 71976278151023602518x + 233609359743506019929492438056
a-invariants
[1, 0, 1, -71976278151023602518, 233609359743506019929492438056]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
51579479254170
discriminant (Δ)
288588917941935218552589793523189680376399154971875569000000
Faltings height
10.2424
naive height
148.7822
primes of bad reduction
2, 3, 5, 7, 19, 41, 439, 709, 1013
regulator
52.7333915855384024430010540260451576802259
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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