{
  "id": 4290,
  "curve_key": "-158887228199:-387364353256245725",
  "ainvs": [
    "1",
    "1",
    "0",
    "3310150588",
    "448339751053770"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 80.99628425261446,
  "faltings_height": 4.810932408662613,
  "conductor": "19601750875338708054",
  "bad_primes": [
    "2",
    "3",
    "11",
    "17",
    "19",
    "23",
    "167",
    "577",
    "7297",
    "56857"
  ],
  "discriminant": "-89156408730746321217792923255058",
  "regulator": "52068503.001612203965757807298962239408943858157121797985",
  "points": [
    [
      "21489",
      "22997847"
    ],
    [
      "6061",
      "-21650785"
    ],
    [
      "-20501",
      "19293987"
    ],
    [
      "-43139",
      "-14987260"
    ],
    [
      "-553919/9",
      "92309053/27"
    ],
    [
      "257659/4",
      "243557485/8"
    ],
    [
      "219109",
      "108023852"
    ],
    [
      "78679",
      "34541582"
    ],
    [
      "-62301",
      "-519213"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4057, submitted by NDElkies. This isogenous curve has the same rank and conductor. The nine supplied points were transported from the source curve.",
  "created_at": "2026-10-16 18:52:00",
  "updated_at": "2026-10-16 18:52:00"
}