{
  "id": 476,
  "curve_key": "15962738736:-2038404709989720",
  "ainvs": [
    "0",
    "0",
    "1",
    "-332557057",
    "2359264710636"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "naive_height": 70.50188778386895,
  "faltings_height": 3.74272059396427,
  "conductor": "50719803766045246971171323",
  "bad_primes": [
    "50719803766045246971171323"
  ],
  "discriminant": "-50719803766045246971171323",
  "regulator": "103519732.35931705653142120237077856759087784763975371707390203",
  "points": [
    [
      "10452",
      "158744"
    ],
    [
      "10433",
      "159068"
    ],
    [
      "10565",
      "158292"
    ],
    [
      "10624",
      "159068"
    ],
    [
      "10286",
      "163890"
    ],
    [
      "10254",
      "165458"
    ],
    [
      "10774",
      "164106"
    ],
    [
      "10172",
      "170255"
    ],
    [
      "10832",
      "167180"
    ],
    [
      "10109",
      "174651"
    ],
    [
      "10939",
      "174363"
    ],
    [
      "9538",
      "234606"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "Prime conductor.  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 03:18:45",
  "updated_at": "2026-09-01 03:18:45"
}