{
  "id": 4288,
  "curve_key": "-20443940345591:-60364832272661136293",
  "ainvs": [
    "1",
    "1",
    "0",
    "425915423867",
    "69866881484043667"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 91.94612291666456,
  "faltings_height": 5.758300854991147,
  "conductor": "884834993897161758496110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "23",
    "29",
    "53",
    "83",
    "97",
    "311",
    "599",
    "1871",
    "22871"
  ],
  "discriminant": "-7053561264439215292420703292146631390",
  "regulator": "2348706693.220088930790402196579874536581790948742995177245",
  "points": [
    [
      "3549",
      "-267169325"
    ],
    [
      "1073519",
      "1327720040"
    ],
    [
      "4568271/4",
      "11438265383/8"
    ],
    [
      "643089",
      "780528656"
    ],
    [
      "97253",
      "334926416"
    ],
    [
      "-88947",
      "176903971"
    ],
    [
      "430737",
      "-577485808"
    ],
    [
      "875987",
      "-1056447304"
    ],
    [
      "692303/4",
      "-3086319077/8"
    ],
    [
      "-128209/4",
      "1896354463/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4056, submitted by NDElkies. This isogenous curve has the same rank and conductor. The ten supplied points were transported from the source curve.",
  "created_at": "2026-10-16 18:46:26",
  "updated_at": "2026-10-16 18:46:26"
}