curve #104

y² = x³ − 28776016773697375x + 1902573710284632656267650

a-invariants: [0, 0, 0, -28776016773697375, 1902573710284632656267650]
c-invariants: [1381248805137474000, -1643823685685922615015249600]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 48425331144402124316921051447383611482427753400
discriminant (Δ): -38740264915521699453536841157906889185942202720000
Faltings height: 8.3191
naive height: 125.3336
primes of bad reduction: 2, 5, 90031, 533053, 5045220336795543479720942714658869
regulator: 75232573041791.52467258926127736526099781531065272863860954044399433180
submitted by: David Renshaw
submitted at: 2026-06-24 00:00:21 UTC
last updated: 2026-07-01 22:36:41 UTC

(97712665, 154045371730)
(99555245, 156482952370)
(94394865, 165410409770)
(93776785, 169506425930)
(92466365, 179861364770)
(89626805, 208423079030)
(88694525, 219165360670)
(87713925, 231006105670)
(87050045, 239290996130)
(85870605, 254458330030)
(85428185, 260275942930)
(98440675, 154237161920)
(94560695, 164405897120)
(78362825, 358899536830)
(72920105, 438137720030)
(68314345, 505541052130)

Found by Zev Klagsbrun.

last edited by David Renshaw at 2026-06-24 02:36:03 UTC · history