{
  "id": 2056,
  "curve_key": "-8039:-121085",
  "ainvs": [
    "1",
    "1",
    "0",
    "168",
    "210"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "naive_height": 26.976179928983882,
  "faltings_height": 0.3184309891357599,
  "conductor": "113946",
  "bad_primes": [
    "2",
    "3",
    "7",
    "2713"
  ],
  "discriminant": "-309135498",
  "regulator": "15.404749664620176594613766369184369194240593",
  "points": [
    [
      "-1",
      "7"
    ],
    [
      "1",
      "19"
    ],
    [
      "11",
      "-65"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1129 (David Renshaw).",
  "created_at": "2026-09-26 05:10:11",
  "updated_at": "2026-09-26 05:10:11"
}