{
  "id": 3700,
  "curve_key": "23806128476747886173086370460433:-116122030717668159343687547996607169652215936505",
  "ainvs": [
    "1",
    "1",
    "1",
    "-495961009932247628605966051259",
    "134400498515819422219587931004005638315321161"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    4
  ],
  "naive_height": 216.74248750912392,
  "faltings_height": 15.789963880338233,
  "conductor": "5069134872445093600035756292049418",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "19",
    "23",
    "29",
    "41",
    "79",
    "199",
    "283",
    "523",
    "1699",
    "111953",
    "4410389"
  ],
  "discriminant": "4260941550781647062645903981724659183920255488442073528535354296869655297978368580911104",
  "regulator": "329619816.1201763471072528551273309063459690320816330773312",
  "points": [
    [
      "-188530524493389",
      "14872901774263563520294"
    ],
    [
      "394335412795827",
      "380565658717919009062"
    ],
    [
      "476791310038707",
      "2513870307317019541030"
    ],
    [
      "477465176597555",
      "2538809241104922829862"
    ],
    [
      "1007621279765939",
      "25645626114800238826790"
    ],
    [
      "1959282372887987",
      "81755374090987295700262"
    ],
    [
      "-13142978430763899/25",
      "1975783565185353296816534/125"
    ],
    [
      "-6465642611274077/81",
      "9601814670802461621681974/729"
    ],
    [
      "4239772442050008051/9409",
      "1417254992315346975483319270/912673"
    ],
    [
      "617894206805152235395/1495729",
      "226098082242386610002150848234/1829276567"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 2200/4811 of the Elkies-Klagsbrun Z/4 fibration E1: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = (8t-1)(32t+7), c = 8(t+1)(15t-8)(31t-7) (arXiv:2003.00077, eq. (5)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-30 01:45:49",
  "updated_at": "2026-09-30 01:45:49"
}