Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #2055

y² = x³ + x² − 96301045293150104x + 11502552305812883720547876

a-invariants: [0, 1, 0, -96301045293150104, 11502552305812883720547876]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 7443456979728
discriminant (Δ): 104579592954750994924750421829123055352775803904
Faltings height: 8.3112
naive height: 128.9324
primes of bad reduction: 2, 3, 7, 11, 23, 59, 131, 11329
regulator: 87708.14013413065777795838588078345835220878042
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:10:04 UTC
last updated: 2026-09-26 05:10:04 UTC

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

(9239443941334/51529, -1485852300591204/11697083)
(814309371484054/4515625, -257756927618585890908/9595703125)
(911824020643027/5049009, 374545506846858116120/11345123223)
(25840398934322679558/139703265361, 7057942755017436737625305100/52216749790715609)

Commentary

2-isogenous partner of curve#1641 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:53:07 UTC · history

Log in to edit commentary.