{
  "id": 3625,
  "curve_key": "30153312597187541881:-151566524274873035295268653005",
  "ainvs": [
    "1",
    "1",
    "0",
    "-628194012441407122",
    "175424217648985174555974640"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 134.55847938475253,
  "faltings_height": 9.178670810097234,
  "conductor": "686044836958354728450143389446",
  "bad_primes": [
    "2",
    "3",
    "11",
    "17",
    "31",
    "101",
    "157",
    "199",
    "347",
    "487",
    "593",
    "2351"
  ],
  "discriminant": "2571557733180790736761999668359933846719299683095776372",
  "regulator": "141086050529.491999328583483130949484065661915660899888573554",
  "points": [
    [
      "-1482167189/4",
      "151224869583521/8"
    ],
    [
      "321243547",
      "2602232340742"
    ],
    [
      "342655102",
      "634125949546"
    ],
    [
      "621800606",
      "5021969024810"
    ],
    [
      "634992070",
      "5706194944000"
    ],
    [
      "-1552757380843097/15342889",
      "927079705887704426814251/60098096213"
    ],
    [
      "-322025129766/1369",
      "892098157001095042/50653"
    ],
    [
      "8213282257/9",
      "513810198946984/27"
    ],
    [
      "8620679761/49",
      "2876881576926601/343"
    ],
    [
      "26937795382/81",
      "1322221417754768/729"
    ],
    [
      "21081992078679/62500",
      "21569076167632305967/15625000"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = 38/9 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 19:21:53",
  "updated_at": "2026-09-29 19:21:53"
}