{
  "id": 1219,
  "curve_key": "19838230725001:-88760355067880462501",
  "ainvs": [
    "1",
    "1",
    "0",
    "-413296473437",
    "102731720232812529"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "naive_height": 91.86494354452665,
  "faltings_height": 5.486984096926955,
  "conductor": "87602268226431423767833962510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "1949",
    "1498243000281023153203933"
  ],
  "discriminant": "-41063563231139729891172169926562500",
  "regulator": "470375855.9649436253755308533373089840048168755815608419043105938",
  "points": [
    [
      "356708",
      "26155271"
    ],
    [
      "413458",
      "50100521"
    ],
    [
      "420818",
      "-57925879"
    ],
    [
      "82633",
      "262911221"
    ],
    [
      "370178",
      "-21743599"
    ],
    [
      "68008",
      "273715521"
    ],
    [
      "95458",
      "253229021"
    ],
    [
      "382208",
      "-24701479"
    ],
    [
      "-604792",
      "-362290729"
    ],
    [
      "366008",
      "-22390729"
    ],
    [
      "16676192/49",
      "-13312562047/343"
    ],
    [
      "304688",
      "71198921"
    ],
    [
      "519293",
      "167506121"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:26:15",
  "updated_at": "2026-09-24 14:26:15"
}