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curve #1553

y2 + xy = x3 − x2 − 40453245711656871275754x + 2708141214769198056442639006847028
a-invariants
[1, -1, 0, -40453245711656871275754, 2708141214769198056442639006847028]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
82723673942910
discriminant (Δ)
1068520298510498662624511226828906103686799966011631534467515625000000
Faltings height
11.9704
naive height
167.7769
primes of bad reduction
2, 3, 5, 7, 11, 13, 17, 29, 37, 71, 709
regulator
597.30108526540920271981315145749324792595829
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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