{
  "id": 4289,
  "curve_key": "-528395927:-329771751628661",
  "ainvs": [
    "1",
    "1",
    "0",
    "11008249",
    "381684854859"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 66.85884373869884,
  "faltings_height": 3.629554935734148,
  "conductor": "26676134520303198",
  "bad_primes": [
    "2",
    "3",
    "7",
    "29",
    "73",
    "127",
    "457",
    "673",
    "7681"
  ],
  "discriminant": "-63019061057257303010879118",
  "regulator": "5322380.50857306883571389494129465821736224988096328238",
  "points": [
    [
      "1807",
      "637439"
    ],
    [
      "-2459",
      "584114"
    ],
    [
      "6591",
      "857295"
    ],
    [
      "-26897/4",
      "512107/8"
    ],
    [
      "-4679",
      "479589"
    ],
    [
      "17431",
      "2414130"
    ],
    [
      "2757",
      "656649"
    ],
    [
      "-1199",
      "-605011"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4045, submitted by Michael Rubinstein and sourced from his elliptic-curves-by-rank repository. This isogenous curve has the same rank and conductor. The eight supplied points were transported from the source curve.",
  "created_at": "2026-10-16 18:49:14",
  "updated_at": "2026-10-16 18:49:14"
}