{
  "id": 778,
  "curve_key": "131611510576:-47330412625327960",
  "ainvs": [
    "0",
    "1",
    "1",
    "-2741906470",
    "54779656199380"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "naive_height": 76.80936095518693,
  "faltings_height": 4.260001843842257,
  "conductor": "27044058554572306801893",
  "bad_primes": [
    "3",
    "43",
    "3457",
    "4211",
    "447641",
    "32171231"
  ],
  "discriminant": "22889252794774808735611376517",
  "regulator": "2569123.25997041592329768808032393597840673019443882466531178",
  "points": [
    [
      "26753",
      "757552"
    ],
    [
      "32945",
      "-454145"
    ],
    [
      "-32458",
      "10468156"
    ],
    [
      "-20848",
      "10143076"
    ],
    [
      "-43294",
      "9609403"
    ],
    [
      "80309/4",
      "22375949/8"
    ],
    [
      "55391",
      "-8535479"
    ],
    [
      "-53356",
      "7013020"
    ],
    [
      "23657",
      "-1776137"
    ],
    [
      "40685",
      "3251380"
    ],
    [
      "16709",
      "3691939"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-18 12:38:32",
  "updated_at": "2026-09-18 12:38:32"
}