Elliptic Curve Rank Leaderboard

curve #3755

y2 = x3 − x2 − 9469635x + 11219414691
a-invariants
[0, -1, 0, -9469635, 11219414691]
rank (lower bound)
≥ 4
torsion subgroup
ℤ/2ℤ
conductor (N)
909085056
discriminant (Δ)
1818170112
Faltings height
2.2396
naive height
59.8044
primes of bad reduction
2, 3, 11, 83, 2593
regulator
457.1276219211372468340909108499349019299960676
submitted by
jesper-petersen
submitted at
last updated

Witness: 4 independent points log in to add more points →

Commentary

Found 2026-10-01 in a discriminant-first search for elliptic curves over Q with rational 2-torsion, using the family y^2 = x^3 + A*x^2 + B*x and screening low-discriminant candidates. PARI/GP 2.17.4 on the global minimal model gives ellrank bounds [4,4], torsion Z/2Z, conductor 909085056, and minimal discriminant 1818170112. The four submitted points are the independent generators returned by ellrank(E,1).

last edited by jesper-petersen at · history

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