{
  "id": 4300,
  "curve_key": "81309441497536:-732255997351753249280",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1693946697865",
    "847519080102317401"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 96.08784977196171,
  "faltings_height": 5.789326317262882,
  "conductor": "168010591633224367516032",
  "bad_primes": [
    "2",
    "3",
    "23",
    "41",
    "73",
    "127",
    "223",
    "911",
    "1481",
    "4057"
  ],
  "discriminant": "784831713240990373118191024172900352",
  "regulator": "13671029251.78819949594814128389202998102079091616705628788",
  "points": [
    [
      "774048",
      "9670763"
    ],
    [
      "1024376",
      "432671631"
    ],
    [
      "11679008",
      "-39674569173"
    ],
    [
      "29843829/4",
      "-160704404123/8"
    ],
    [
      "151578053/196",
      "13203518973/2744"
    ],
    [
      "1747608",
      "1795714273"
    ],
    [
      "132236144/169",
      "73835009457/2197"
    ],
    [
      "107835696/121",
      "-284535982039/1331"
    ],
    [
      "2737416",
      "4089395401"
    ],
    [
      "102015584/25",
      "983326551327/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4248, submitted by Michael Rubinstein and sourced from his elliptic-curves-by-rank repository. This isogenous curve has the same rank and conductor. The ten supplied points were transported from the source curve.",
  "created_at": "2026-10-16 19:08:05",
  "updated_at": "2026-10-16 19:08:05"
}