{
  "id": 2043,
  "curve_key": "23712345553:985458391549255",
  "ainvs": [
    "1",
    "1",
    "1",
    "-494007199",
    "-1140782678404"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 71.66778497661171,
  "faltings_height": 4.035975289055228,
  "conductor": "23832077997",
  "bad_primes": [
    "3",
    "7",
    "13",
    "17",
    "29",
    "53",
    "257"
  ],
  "discriminant": "7153783980290481537357690609",
  "regulator": "9340.99919532813699321868759841015068804176638762",
  "points": [
    [
      "27653",
      "-2532819"
    ],
    [
      "-29113/4",
      "11536995/8"
    ],
    [
      "-49273/4",
      "14079063/8"
    ],
    [
      "-2063601/100",
      "-505770977/1000"
    ],
    [
      "-20365/4",
      "8937381/8"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1695 (Michael Rubinstein).",
  "created_at": "2026-09-26 05:07:10",
  "updated_at": "2026-09-26 05:07:10"
}