{
  "id": 3623,
  "curve_key": "428901352276751445054121:-280857129639916968461820859298107669",
  "ainvs": [
    "1",
    "0",
    "1",
    "-8935444839098988438628",
    "325066122267677796797923301076998"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 163.24654169186408,
  "faltings_height": 11.304366159872101,
  "conductor": "498653576436666580377542225670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "23",
    "41",
    "89",
    "113",
    "167",
    "227",
    "503",
    "631",
    "2063"
  ],
  "discriminant": "10653111597901377068503021060982585834191204181595096350404687500",
  "regulator": "1183232603745.82565082748542605328972091641395828623337684866",
  "points": [
    [
      "90849893599",
      "16221235778859725"
    ],
    [
      "-13297486649964311/175561",
      "1752102709239385668748375/73560059"
    ],
    [
      "1384678995481/25",
      "33180825114705781/125"
    ],
    [
      "5636785329979/121",
      "4189010028203017225/1331"
    ],
    [
      "26050808170561/289",
      "77999130572462486725/4913"
    ],
    [
      "272681396989564/5041",
      "3823877038545377455/357911"
    ],
    [
      "630646071597559/7225",
      "8902764273781351788953/614125"
    ],
    [
      "25057580156841469/712336",
      "4429196406502496956099295/601211584"
    ],
    [
      "21212032149651664/72361",
      "2945345560626496493355850/19465109"
    ],
    [
      "69398666062871364/185761",
      "17746017088081257746357375/80062991"
    ],
    [
      "251739970325161208194/439279681",
      "3942967583352781096634701345625/9206862834079"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = -106/5 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 19:21:31",
  "updated_at": "2026-09-29 19:21:31"
}