curve #797

y² = x³ − 77127840412x + 9288236618064820

a-invariants: [0, 0, 0, -77127840412, 9288236618064820]
rank (lower bound): ≥ 14
torsion subgroup: trivial
conductor (N): 247041733347564921270591464408344
discriminant (Δ): -7905335467122077480658926861067008
Faltings height: 5.2331
naive height: 87.0582
primes of bad reduction: 2, 557, 1213, 7669, 192935759, 30889642153313
regulator: 14378840198.0103453948311675618759064468441696364761899825433591718
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:41:45 UTC
last updated: 2026-09-18 12:41:45 UTC

(233718, 63472106)
(-4918, 98323102)
(6042, -93927902)
(226633, 58727881)
(116660, -43338130)
(103673, -49055569)
(236268, -65226394)
(180442, -35301598)
(-302690, 70008790)
(167554, 32697506)
(20438, 87866006)
(263618, 85299106)
(-303007, 69559019)
(368982, -176254102)

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

last edited by Michael Rubinstein at 2026-09-18 12:41:45 UTC · history