{
  "id": 3633,
  "curve_key": "77846318971719866509921:-21293087104954581437310377598436625",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1621798311910830552290",
    "24644776741169831070627868749551"
  ],
  "rank_lower_bound": 12,
  "torsion": [
    2
  ],
  "naive_height": 158.12707069931042,
  "faltings_height": 11.072565169108536,
  "conductor": "5823102912675542002999614449352786",
  "bad_primes": [
    "2",
    "3",
    "11",
    "19",
    "23",
    "47",
    "97",
    "107",
    "109",
    "271",
    "353",
    "563",
    "1153",
    "1291",
    "5051",
    "9377"
  ],
  "discriminant": "10623251366845607892971993300969516309003874094605629097183347712",
  "regulator": "210733412349.85980905463824595806087277400414006391114694990376",
  "points": [
    [
      "-45953609519",
      "1459630107017771"
    ],
    [
      "-43086734727",
      "3812328161487427"
    ],
    [
      "11190585661",
      "2810206492805987"
    ],
    [
      "11243676297",
      "2798427858983203"
    ],
    [
      "15128525969",
      "1889928775149059"
    ],
    [
      "26571554049",
      "558425733441979"
    ],
    [
      "26970535049",
      "722924255973971"
    ],
    [
      "130623884789",
      "45183805517420039"
    ],
    [
      "365819895657",
      "219970069911133219"
    ],
    [
      "259430756265/289",
      "23658853853056453091/4913"
    ],
    [
      "30581525469447/1849",
      "121764821153031601813/79507"
    ],
    [
      "454463771709241/29929",
      "9713449321425190752607/5177717"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = -89/9 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 19:23:33",
  "updated_at": "2026-09-29 19:23:33"
}