{
  "id": 1814,
  "curve_key": "-382028571279:268993154866458231",
  "ainvs": [
    "1",
    "-1",
    "1",
    "7958928568",
    "-311336659716469"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    12
  ],
  "naive_height": 80.26692465519132,
  "faltings_height": 4.801110542186873,
  "conductor": "434070",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "53"
  ],
  "discriminant": "-74139348383382234980873664000000",
  "regulator": "5.586289425329679633758748872622922722879",
  "points": [
    [
      "54309",
      "16738441"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-5/9 of the HHVZ 2021 (Thm 5) universal family for torsion Z/12Z.",
  "created_at": "2026-09-25 15:14:34",
  "updated_at": "2026-09-25 15:14:34"
}