{
  "id": 1501,
  "curve_key": "4956550302261320283499388823207083014621062241:-348866583240707375594198171731263052988058716687572136411231660370961",
  "ainvs": [
    "1",
    "0",
    "0",
    "-103261464630444172572903933816814229471272130",
    "403780767639707610641424464011353774314390587505020052993877000900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 315.6511175397532,
  "faltings_height": 24.029831762848318,
  "conductor": "1755993439796026473773085810",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "23",
    "59",
    "79",
    "137",
    "223",
    "431",
    "701",
    "769",
    "2617"
  ],
  "discriminant": "35657339933816659907695978906711920579802632136113566667148425809728557061477259839339496096109386045505165295795555857152100000000",
  "regulator": "19.93213892225664213447947095515366802102",
  "points": [
    [
      "301587049333006815038390992540/55071241",
      "20529548303614678487340832148668877382925670/408683679461"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=153/1027 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 00:42:19",
  "updated_at": "2026-09-25 00:42:19"
}