{
  "id": 552,
  "curve_key": "627540816:9651078066600",
  "ainvs": [
    "0",
    "0",
    "1",
    "-13073767",
    "-11170229244"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "naive_height": 60.77195781681954,
  "faltings_height": 3.104358792149189,
  "conductor": "89112822238948771487557",
  "bad_primes": [
    "1201",
    "74198852821772499157"
  ],
  "discriminant": "89112822238948771487557",
  "regulator": "14610814.2772642708432326831778851025549951533983405773059318",
  "points": [
    [
      "-916",
      "6063"
    ],
    [
      "-937",
      "16038"
    ],
    [
      "-957",
      "21561"
    ],
    [
      "-968",
      "24044"
    ],
    [
      "-974",
      "25290"
    ],
    [
      "-1023",
      "33669"
    ],
    [
      "-1051",
      "37541"
    ],
    [
      "-1114",
      "44849"
    ],
    [
      "-1125",
      "45977"
    ],
    [
      "-1297",
      "60038"
    ],
    [
      "-1359",
      "63930"
    ]
  ],
  "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.\r\n",
  "created_at": "2026-09-03 13:56:30",
  "updated_at": "2026-09-03 13:56:30"
}