{
  "id": 155,
  "curve_key": "57058041:-427399227405",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1188709",
    "494972209"
  ],
  "rank_lower_bound": 9,
  "naive_height": 53.57873871263536,
  "faltings_height": 2.322290109872686,
  "conductor": "893866404426681866",
  "bad_primes": [
    "2",
    "347",
    "34147",
    "37719036437"
  ],
  "discriminant": "1787732808853363732",
  "regulator": "416895.39959299299883511375405071915406693053311770994384",
  "points": [
    [
      "48",
      "20905"
    ],
    [
      "65",
      "20412"
    ],
    [
      "212",
      "15783"
    ],
    [
      "-228",
      "-27347"
    ],
    [
      "260",
      "14133"
    ],
    [
      "-260",
      "-27913"
    ],
    [
      "-293",
      "-28455"
    ],
    [
      "329",
      "11643"
    ],
    [
      "404",
      "8773"
    ]
  ],
  "submitter": "Edgar Costa",
  "commentary": "Found by the ec-smallcond GPU integral-point search (Elkies-Watkins style large-rank/small-conductor sweep); rank >= 9 certified from 9 independent points via PARI/GP ellrank (returned rank exactly 9).",
  "created_at": "2026-06-24 21:09:12",
  "updated_at": "2026-07-01 22:52:29"
}