{
  "id": 3627,
  "curve_key": "267484136741662738513:-382980149510307448511766154710745",
  "ainvs": [
    "1",
    "0",
    "0",
    "-5572586182117973719",
    "443264061932761831373441736809"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 150.05107189740806,
  "faltings_height": 10.561950660745902,
  "conductor": "2355694911715481929719037783146",
  "bad_primes": [
    "2",
    "3",
    "11",
    "31",
    "37",
    "41",
    "127",
    "271",
    "293",
    "397",
    "577",
    "823",
    "1483",
    "24473"
  ],
  "discriminant": "-84869593187040709081893813621983900101006839179127142351896576",
  "regulator": "26818075718.6130891519428466423179148041308382365198948995346",
  "points": [
    [
      "-7844380666",
      "65418087507317"
    ],
    [
      "61147647887/4",
      "15860269155571273/8"
    ],
    [
      "30679895894",
      "5399052557203157"
    ],
    [
      "60656141270",
      "14942170130125013"
    ],
    [
      "-98733789549706/14161",
      "637662179867025215923/1685159"
    ],
    [
      "-882108559786/2401",
      "78504775673157189413/117649"
    ],
    [
      "-385088931610/361",
      "4590897181431263783/6859"
    ],
    [
      "-180115082194/25",
      "41354102929278889/125"
    ],
    [
      "22601649254/25",
      "82817985896384257/125"
    ],
    [
      "67634849354/49",
      "227054884423953851/343"
    ],
    [
      "39273366634952/17161",
      "1495437380966100961999/2248091"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = 115/2 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 19:22:16",
  "updated_at": "2026-09-29 19:22:16"
}