{
  "id": 785,
  "curve_key": "12789694281:-1479252178114245",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-266451964",
    "1712164041364"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "naive_height": 69.86062613985851,
  "faltings_height": 3.7223191679506855,
  "conductor": "27805670188643664300931114",
  "bad_primes": [
    "2",
    "2311",
    "12333707",
    "487764062196841"
  ],
  "discriminant": "-55611340377287328601862228",
  "regulator": "78281639.467582174909688157867626234865692541798465645454081475",
  "points": [
    [
      "11400",
      "-400742"
    ],
    [
      "6971",
      "436339"
    ],
    [
      "7345",
      "385287"
    ],
    [
      "8486",
      "-253430"
    ],
    [
      "-3890",
      "-1638112"
    ],
    [
      "1178",
      "1182592"
    ],
    [
      "50106",
      "10659334"
    ],
    [
      "1784",
      "1113778"
    ],
    [
      "3131",
      "-954765"
    ],
    [
      "20934",
      "-2314352"
    ],
    [
      "7672",
      "341810"
    ],
    [
      "9006",
      "202610"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-18 12:39:43",
  "updated_at": "2026-09-18 12:39:43"
}