{
  "id": 3626,
  "curve_key": "522729172659756910681:-11805915595725935851695190627805",
  "ainvs": [
    "1",
    "1",
    "0",
    "-10890191097078268972",
    "13664254157182253537901636340"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 143.11678550859807,
  "faltings_height": 9.800158906564768,
  "conductor": "1758821889262453385218180898874",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "23",
    "43",
    "67",
    "83",
    "101",
    "193",
    "317",
    "353",
    "977",
    "16349",
    "19867"
  ],
  "discriminant": "1998785656382426536316185289523196368038430303785897912172",
  "regulator": "123555300634.745014009534653514819991954703916210495836392039",
  "points": [
    [
      "-3464888264",
      "98996703655114"
    ],
    [
      "-2136223080",
      "164863394160730"
    ],
    [
      "1454569048",
      "30020172774010"
    ],
    [
      "194958535704",
      "86069853692658254"
    ],
    [
      "-4415185658936/2809",
      "24416960399789032298/148877"
    ],
    [
      "19035807246/25",
      "9530801636606804/125"
    ],
    [
      "805350423047/484",
      "130643297899744265/10648"
    ],
    [
      "1981108094520/1681",
      "3423009335010014030/68921"
    ],
    [
      "5605289921443/3249",
      "618664844481406841/185193"
    ],
    [
      "104148391583314/36481",
      "532570967508362362292/6967871"
    ],
    [
      "755063997469576/2809",
      "20746395243403910625614/148877"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = -62/9 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 19:22:05",
  "updated_at": "2026-09-29 19:22:05"
}