Elliptic Curve Rank Leaderboard

curve #2491

y2 + xy = x3 − 802611040x + 8729757209600
a-invariants
[1, 0, 0, -802611040, 8729757209600]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
4975530
discriminant (Δ)
167246907063730675776000000
Faltings height
3.9022
naive height
73.1237
primes of bad reduction
2, 3, 5, 7, 19, 29, 43
regulator
4.132610143741552234679024245129346546478
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=-7, q=12; A=(3q-p)(p+q)^3=5375, B=-(p+3q)(p-q)^3=198911. 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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