Elliptic Curve Rank Leaderboard

curve #2674

y2 + xy = x3 − 1185091611x + 14616017699985
a-invariants
[1, 0, 0, -1185091611, 14616017699985]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
6938610
discriminant (Δ)
14232593616027554854532174400
Faltings height
4.1465
naive height
74.2929
primes of bad reduction
2, 3, 5, 7, 19, 37, 47
regulator
9.67562261712569159350220735615723442069604
submitted by
Natanael Wildner Fraga
submitted at
last updated

Witness: 2 independent points log in to add more points →

Commentary

Exact computational search in the full 2-torsion/3-torsion family with p=-5, q=14; A=(3q-p)(p+q)^3=34263, B=-(p+3q)(p-q)^3=253783. 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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