{
  "id": 1505,
  "curve_key": "-8365005648:-26239130987616",
  "ainvs": [
    "0",
    "0",
    "0",
    "174270951",
    "30369364569"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "naive_height": 68.5419685397377,
  "faltings_height": 3.7801629882313943,
  "conductor": "898024821876",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "41",
    "18119"
  ],
  "discriminant": "-339129458765688772265391216",
  "regulator": "175.7940567356378087355118779988051554937633309",
  "points": [
    [
      "1221",
      "494949"
    ],
    [
      "1312",
      "511147"
    ],
    [
      "2337/16",
      "15121743/64"
    ],
    [
      "2091",
      "635541"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=246/91 of the universal torsion Z/3 family y^2+txy+ty=x^3 (Tate normal form).",
  "created_at": "2026-09-25 00:43:12",
  "updated_at": "2026-09-25 00:43:12"
}