Elliptic Curve Rank Leaderboard

curve #2668

y2 + xy = x3 − 4538439060x + 117601018995600
a-invariants
[1, 0, 0, -4538439060, 117601018995600]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
14893530
discriminant (Δ)
8133028114017017756736000000
Faltings height
4.2863
naive height
78.3211
primes of bad reduction
2, 3, 5, 17, 19, 29, 53
regulator
10.2399912599585977870957807088941257921710
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=-17, q=12; A=(3q-p)(p+q)^3=-6625, B=-(p+3q)(p-q)^3=463391. 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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