Elliptic Curve Rank Leaderboard

curve #1452

y2 + xy = x3 − x2 − 39719178579288352599x + 29936892963108165586673606793
a-invariants
[1, -1, 0, -39719178579288352599, 29936892963108165586673606793]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
258244319970
discriminant (Δ)
3623169906390423202079521419033185387514003067599688476562500
Faltings height
10.3120
naive height
146.9987
primes of bad reduction
2, 3, 5, 7, 13, 271, 307, 379
regulator
166.750249540827760776000191204490726455902
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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