{
  "id": 3674,
  "curve_key": "3533694816838776739134571521:-210060090879613455223619671044994107246081",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-73618642017474515398636907",
    "243125105184756200058212321227222468539"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    4
  ],
  "naive_height": 190.29642457412598,
  "faltings_height": 13.343254881337847,
  "conductor": "2108987770780492075994930190",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "31",
    "37",
    "67",
    "101",
    "137",
    "181",
    "191",
    "199",
    "331",
    "929",
    "947"
  ],
  "discriminant": "1198338420457818027531344205257713365564302642421258048393604380386918400",
  "regulator": "9541726373.4946771750324308799045454457925516233777872084",
  "points": [
    [
      "698851624325627/121",
      "4332202408810337707686/1331"
    ],
    [
      "6299370158046971/3025",
      "1654151718351078793755654/166375"
    ],
    [
      "6758551796688371/1369",
      "3293419745959078534914/50653"
    ],
    [
      "7755229551031763/2809",
      "1161994554080872655119842/148877"
    ],
    [
      "11898383005383659/2401",
      "792291148396733257098/117649"
    ],
    [
      "52580899754606331/9409",
      "2280010624034622723221546/912673"
    ],
    [
      "288354786617579507/80089",
      "112732964601982151559221886/22665187"
    ],
    [
      "1647140965456744091/69169",
      "1992264742064149198734720486/18191447"
    ],
    [
      "518033244135787288680203/104634781729",
      "365569647016359161175931777278282/33846526750224817"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 905/402 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 19:30:59",
  "updated_at": "2026-09-29 19:30:59"
}