{
  "id": 556,
  "curve_key": "7724348112:-754222720802904",
  "ainvs": [
    "0",
    "0",
    "1",
    "-160923919",
    "872942963892"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "naive_height": 68.51341765199797,
  "faltings_height": 3.6819248345074738,
  "conductor": "62485188121355020192595771",
  "bad_primes": [
    "211",
    "296138332328696778163961"
  ],
  "discriminant": "-62485188121355020192595771",
  "regulator": "140799191.78188112234034943675821015591196309473192680200204615",
  "points": [
    [
      "6970",
      "299853"
    ],
    [
      "7237",
      "295581"
    ],
    [
      "7294",
      "295334"
    ],
    [
      "6852",
      "303303"
    ],
    [
      "6784",
      "305700"
    ],
    [
      "7707",
      "300801"
    ],
    [
      "6359",
      "326750"
    ],
    [
      "7938",
      "309381"
    ],
    [
      "7949",
      "309885"
    ],
    [
      "8015",
      "313086"
    ],
    [
      "5969",
      "353634"
    ],
    [
      "5960",
      "354323"
    ]
  ],
  "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": "2026-09-03 18:30:06",
  "updated_at": "2026-09-03 18:30:06"
}