{
  "id": 3660,
  "curve_key": "718424283202002513:-608789200319436127105357785",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-14967172566708386",
    "704617133741140511012001"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    4
  ],
  "naive_height": 123.3475101393358,
  "faltings_height": 8.0028793953415,
  "conductor": "496764009210534318",
  "bad_primes": [
    "2",
    "3",
    "11",
    "37",
    "41",
    "67",
    "73",
    "4523",
    "74761"
  ],
  "discriminant": "103306670172475083094305603456479898861016449024",
  "regulator": "46991496.94085781650729266120397697694062811280921860",
  "points": [
    [
      "71818061",
      "11341529943"
    ],
    [
      "-64083220131551935/530887681",
      "10611501328654306464397407/12232183057921"
    ],
    [
      "45400146377/841",
      "5664539662812891/24389"
    ],
    [
      "379615640129/16129",
      "1238162820784061985/2048383"
    ],
    [
      "5526686987177/26569",
      "11118530630975032581/4330747"
    ],
    [
      "247315635024385/3448449",
      "57371398840704875231/6403769793"
    ],
    [
      "143758823299434321315593/86234197620169",
      "54363450713285060259474982088167899/800791196605725314053"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 17/37 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": "2026-09-29 19:28:38",
  "updated_at": "2026-09-29 19:28:38"
}