{
  "id": 475,
  "curve_key": "5456626896:-589672427451480",
  "ainvs": [
    "0",
    "0",
    "1",
    "-113679727",
    "682491235476"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "naive_height": 68.02117658186818,
  "faltings_height": 3.6956354873357773,
  "conductor": "107201228152577318687714363",
  "bad_primes": [
    "7499",
    "26317",
    "530393",
    "1024146872477"
  ],
  "discriminant": "-107201228152577318687714363",
  "regulator": "134979922.92325185433800770837655815890241380891706831331379159",
  "points": [
    [
      "5559",
      "471521"
    ],
    [
      "5498",
      "472941"
    ],
    [
      "5335",
      "477342"
    ],
    [
      "6129",
      "464738"
    ],
    [
      "4947",
      "491105"
    ],
    [
      "4666",
      "503634"
    ],
    [
      "4622",
      "505769"
    ],
    [
      "6494",
      "467033"
    ],
    [
      "6576",
      "468299"
    ],
    [
      "6709",
      "470946"
    ],
    [
      "4096",
      "534395"
    ],
    [
      "3806",
      "552230"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "Found in the output of the searches from earlier this year that found Curves 157, 158, 244  of ranks 12, 13, 14 and smallest conductor known.",
  "created_at": "2026-09-01 03:00:19",
  "updated_at": "2026-09-01 03:00:19"
}