{
  "id": 3673,
  "curve_key": "-11967281228404392284302064:-377649845506015760220968018757894261184",
  "ainvs": [
    "0",
    "1",
    "0",
    "249318358925091505922960",
    "437094728595008754523539867027314900"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    4
  ],
  "naive_height": 177.65406155890398,
  "faltings_height": 12.864012687648568,
  "conductor": "536728523406795140805407760",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "31",
    "59",
    "101",
    "149",
    "199",
    "389",
    "1301",
    "3001",
    "24439"
  ],
  "discriminant": "-83526220951973822488286421895105507302027127256411227107475663567165440000",
  "regulator": "11807799347.080977937614245260316404869250961874868321865",
  "points": [
    [
      "-154272884830",
      "628458393602169600"
    ],
    [
      "393684430655",
      "772181081928832290"
    ],
    [
      "-100164532185436750/323761",
      "105882294977866038402495120/184220009"
    ],
    [
      "85420963109195/529",
      "8443268274387392794920/12167"
    ],
    [
      "249151400256875/49",
      "3958155649759637280240/343"
    ],
    [
      "5816050327596508/48841",
      "7387863672554917383570354/10793861"
    ],
    [
      "11420537353315426562/4068289",
      "39574276406697962095747382208/8205738913"
    ],
    [
      "88682486277677681330/595701649",
      "10046957244947204302524525757200/14539290147143"
    ],
    [
      "1580709758725045518866/96727225",
      "62878555505961238264875113268864/951312257875"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 1341/20 of the Elkies-Klagsbrun Z/4 fibration E2: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = -8(80t+9), c = 2(t-2)(2t-1)(18t-1)(2t-81) (arXiv:2003.00077, eq. (6)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-29 19:30:49",
  "updated_at": "2026-09-29 19:30:49"
}