Elliptic Curve Rank Leaderboard

curve #2484

y2 + xy = x3 − 1094414376x + 13440370812480
a-invariants
[1, 0, 0, -1094414376, 13440370812480]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
1009470
discriminant (Δ)
5853845685143298051662745600
Faltings height
4.0942
naive height
74.0541
primes of bad reduction
2, 3, 5, 7, 11, 19, 23
regulator
2.946692958386621495491459920258819406922
submitted by
Natanael Wildner Fraga
submitted at
last updated

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Commentary

Exact computational search in the full 2-torsion/3-torsion family with p=-23, q=4; A=(3q-p)(p+q)^3=-240065, B=-(p+3q)(p-q)^3=-216513. 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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