curve #1629

y² + xy = x³ − 11520897973567911020196x + 515154790097525787607835901376272

a-invariants: [1, 0, 0, -11520897973567911020196, 515154790097525787607835901376272]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/7ℤ
conductor (N): 73564534513952454
discriminant (Δ): -16778479534527041445948515167145254504085703571956448813482302767104
Faltings height: 11.6397
naive height: 164.1672
primes of bad reduction: 2, 3, 7, 17, 41, 73, 211, 281, 617, 941
regulator: 22094.14104541475437315881546767733757247273357
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:52:26 UTC
last updated: 2026-09-25 01:52:26 UTC

(736962676341021/13456, 10865394651029535508401/1560896)
(871854289224, 808203205234584732)
(-244722435793848/5041, 11089712631719449056132/357911)
(37763326208083455624/100380361, 223584969735282025076377238388/1005710836859)

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:52:26 UTC · history