Elliptic Curve Rank Leaderboard

curve #2483

y2 + xy + y = x3 − 2376073528x + 44530097120006
a-invariants
[1, 0, 1, -2376073528, 44530097120006]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
39270
discriminant (Δ)
1904972409734563785924000000
Faltings height
4.1422
naive height
76.3797
primes of bad reduction
2, 3, 5, 7, 11, 17
regulator
1.845940217164241088066806168218800015999
submitted by
Natanael Wildner Fraga
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=11; A=(3q-p)(p+q)^3=-6125, B=-(p+3q)(p-q)^3=334611. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.

last edited by Natanael Wildner Fraga at · history

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