{
  "id": 4087,
  "curve_key": "48514934848:-331764106000417280",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1010727809",
    "383986570706049"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4
  ],
  "naive_height": 80.68640117438034,
  "faltings_height": 4.78163940238898,
  "conductor": "5377165292352",
  "bad_primes": [
    "2",
    "3",
    "7",
    "137",
    "193",
    "337",
    "449"
  ],
  "discriminant": "-63630342871128720314365288513536",
  "regulator": "10838.792777750505209985656817572381410474215796991",
  "points": [
    [
      "-49521",
      "17680344"
    ],
    [
      "-14781",
      "19892124"
    ],
    [
      "-2815",
      "19667472"
    ],
    [
      "36256",
      "19874575"
    ],
    [
      "2939057/529",
      "236723223600/12167"
    ],
    [
      "37145755/169",
      "228111535036/2197"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Found using a Tate-normal-form discriminant sieve.",
  "created_at": "2026-10-09 06:41:08",
  "updated_at": "2026-10-09 06:41:08"
}