{
  "id": 3631,
  "curve_key": "330883238947501174776961:-253506656490431850248691517637504705",
  "ainvs": [
    "1",
    "1",
    "1",
    "-6893400811406274474520",
    "293410482046238687449751456975321"
  ],
  "rank_lower_bound": 12,
  "torsion": [
    2
  ],
  "naive_height": 163.0413962996698,
  "faltings_height": 11.603269444382143,
  "conductor": "3070143408623089579456273867631802",
  "bad_primes": [
    "2",
    "3",
    "11",
    "17",
    "19",
    "29",
    "59",
    "67",
    "97",
    "149",
    "151",
    "307",
    "349",
    "353",
    "2083",
    "2297",
    "3181"
  ],
  "discriminant": "-16226445440889309905780593507495253984060461596572643413958850510848",
  "regulator": "50860332476.873282815250485315218312563747771104141764972535746",
  "points": [
    [
      "-84867688443",
      "16345557587117629"
    ],
    [
      "-5827045413",
      "18258721035400489"
    ],
    [
      "16029634949",
      "13675904580124221"
    ],
    [
      "51262821509",
      "8645648983727421"
    ],
    [
      "65732989595",
      "11149291936135227"
    ],
    [
      "105591943477",
      "27254983549905469"
    ],
    [
      "225843029509",
      "101270437519963069"
    ],
    [
      "26276840364421",
      "134696871007753207357"
    ],
    [
      "-1013894745434067/11881",
      "20890072987733879312641/1295029"
    ],
    [
      "552627568117/9",
      "272210522708937559/27"
    ],
    [
      "2614227240509/25",
      "3344776913107437513/125"
    ],
    [
      "2636136431659/25",
      "3397956436869362117/125"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = 121/9 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 19:23:10",
  "updated_at": "2026-09-29 19:23:10"
}