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curve #1619

y2 + xy + y = x3 − 6508768317643002489x + 6253221156016028467204250536
a-invariants
[1, 0, 1, -6508768317643002489, 6253221156016028467204250536]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
52197440565270 ☆ record for ℤ/2ℤ × ℤ/6ℤ torsion, rank ≥ 4
discriminant (Δ)
754825858558426405448779333085893008126075033109891016100
Faltings height
9.6974
naive height
141.5726
primes of bad reduction
2, 3, 5, 7, 11, 13, 17, 29, 41, 113, 761
regulator
496.2304760947666150126948371975978594408306990
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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