{
  "id": 3617,
  "curve_key": "336674710998130393:-191361776926214678077045405",
  "ainvs": [
    "1",
    "0",
    "1",
    "-7014056479127717",
    "221483537524540059698900"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 121.07368082953883,
  "faltings_height": 7.986548127926104,
  "conductor": "2485766715136584389804778",
  "bad_primes": [
    "2",
    "3",
    "11",
    "23",
    "71",
    "73",
    "227",
    "277",
    "317",
    "383",
    "467",
    "3853"
  ],
  "discriminant": "892767380867418374976295265370863566742778512844",
  "regulator": "977218788.8778173703600762134710209857098997980636729842946",
  "points": [
    [
      "-75590370",
      "565513296979"
    ],
    [
      "-1901412",
      "484576305403"
    ],
    [
      "-802688489661/9409",
      "407149773618562492/912673"
    ],
    [
      "-13342028085/169",
      "1169204415379060/2197"
    ],
    [
      "-7882795431/289",
      "3078078791533862/4913"
    ],
    [
      "-1610480772/49",
      "221369589080653/343"
    ],
    [
      "386510805/16",
      "16458857793535/64"
    ],
    [
      "61657592553/1681",
      "8024607878461088/68921"
    ],
    [
      "514381463955/47089",
      "3906605042607795772/10218313"
    ],
    [
      "127140579684279/2992900",
      "69846704323751412473/5177717000"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = 10/23 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 19:20:22",
  "updated_at": "2026-09-29 19:20:22"
}