{
  "id": 3629,
  "curve_key": "295968038731659674425:-5082789503177342119959082598125",
  "ainvs": [
    "1",
    "0",
    "1",
    "-6166000806909576551",
    "5882858220756238497524991998"
  ],
  "rank_lower_bound": 12,
  "torsion": [
    2
  ],
  "naive_height": 141.41034943538705,
  "faltings_height": 9.57870320611471,
  "conductor": "145059433532653065217081920420450",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "41",
    "53",
    "61",
    "103",
    "109",
    "263",
    "353",
    "443",
    "619",
    "3931",
    "31069"
  ],
  "discriminant": "52770149310761021642925563119248682216598567681372437500",
  "regulator": "2148808899929.7500086903095664327879794957006208454127468990355",
  "points": [
    [
      "-11463097657/4",
      "33560084995653/8"
    ],
    [
      "-5284941717/4",
      "866193811757963/8"
    ],
    [
      "1047798917",
      "23926227272766"
    ],
    [
      "1234834062",
      "12318639748156"
    ],
    [
      "1383255792",
      "646457287141"
    ],
    [
      "4732653327",
      "287579480754286"
    ],
    [
      "23948824317/16",
      "169704240868009/64"
    ],
    [
      "13077417273/49",
      "22377249845745598/343"
    ],
    [
      "3023258161407/2209",
      "285063488160582662/103823"
    ],
    [
      "58763925544302/22801",
      "290312431099631267236/3442951"
    ],
    [
      "61438850069104508/40921609",
      "813878614377003895676838/261775532773"
    ],
    [
      "599507739526216983/64850809",
      "448915061488365584221885462/522243564877"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = -30/41 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 19:22:49",
  "updated_at": "2026-09-29 19:22:49"
}