{
  "id": 3621,
  "curve_key": "3824172634399410841:-7598601017464613326481091005",
  "ainvs": [
    "1",
    "1",
    "0",
    "-79670263216654392",
    "8794677070351063157969340"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 128.39552332907587,
  "faltings_height": 8.584870608657527,
  "conductor": "368839630407777086661212802",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "29",
    "97",
    "139",
    "227",
    "263",
    "463",
    "10789",
    "15667"
  ],
  "discriminant": "-1049134010807405039233058690603118803218714473891468",
  "regulator": "1848320349.069389872689525778733370196299938950403847390258",
  "points": [
    [
      "133542924",
      "732629145414"
    ],
    [
      "151273098",
      "452002998690"
    ],
    [
      "163291434",
      "373044958914"
    ],
    [
      "3591693158",
      "214605795358582"
    ],
    [
      "8806374839",
      "825986676840964"
    ],
    [
      "-1217692388083/6889",
      "2382042771612811050/571787"
    ],
    [
      "-1150772978834/6889",
      "2388035041786164668/571787"
    ],
    [
      "-29445706380/121",
      "4939436292474150/1331"
    ],
    [
      "55797957286/289",
      "3835765425557732/4913"
    ],
    [
      "91450124226902/450241",
      "300877330951492466172/302111711"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = 26/9 of the rank-9 fibration of X400, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #802 (same T), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-29 19:21:09",
  "updated_at": "2026-09-29 19:21:09"
}