{
  "id": 1809,
  "curve_key": "5751166241601:-13792210460286322401",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-119815963367",
    "15963236505248159"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    12
  ],
  "naive_height": 88.1412713243938,
  "faltings_height": 4.821089156802099,
  "conductor": "155610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19"
  ],
  "discriminant": "3282184523443210467264000000",
  "regulator": "4.429001753881537675965888108058328305188",
  "points": [
    [
      "1641067",
      "2058036966"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=4/3 of the HHVZ 2021 (Thm 5) universal family for torsion Z/12Z.",
  "created_at": "2026-09-25 15:10:46",
  "updated_at": "2026-09-25 15:10:46"
}