{
  "id": 3622,
  "curve_key": "573451740890423693200:-13732116200837258067951641720000",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-11946911268550493608",
    "15893653014210611705201601712"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 143.39461637555334,
  "faltings_height": 9.594299336723,
  "conductor": "43316108595835552276361984400",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "43",
    "191",
    "199",
    "227",
    "263",
    "269",
    "421",
    "449",
    "1571"
  ],
  "discriminant": "3941805189066359449421657489636418187816716929856000000",
  "regulator": "8017894301.99912547259034226242970111631592730288133763248765",
  "points": [
    [
      "1615407172",
      "28460446799400"
    ],
    [
      "1939993962",
      "4246541094950"
    ],
    [
      "2002794953",
      "160455647484"
    ],
    [
      "4177832092",
      "197237214939600"
    ],
    [
      "8428679196",
      "716932725701392"
    ],
    [
      "277975518892",
      "146546823407014800"
    ],
    [
      "7359598258/9",
      "2205269635129550/27"
    ],
    [
      "48131888314/25",
      "672549719058162/125"
    ],
    [
      "422519133212/961",
      "3085345472821894800/29791"
    ],
    [
      "1147353037924/529",
      "165399112248905304/12167"
    ],
    [
      "23799337064332/11881",
      "308083882692366000/1295029"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = -40/9 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 19:21:19",
  "updated_at": "2026-09-29 19:21:19"
}