{
  "id": 4292,
  "curve_key": "2140096:-3108067840",
  "ainvs": [
    "0",
    "1",
    "0",
    "-44585",
    "3582439"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 43.72908373741484,
  "faltings_height": 1.4954548280145883,
  "conductor": "846118016",
  "bad_primes": [
    "2",
    "17",
    "89",
    "257"
  ],
  "discriminant": "81931299725312",
  "regulator": "4149.43872121831048163514530104100370509767567199",
  "points": [
    [
      "234",
      "-2453"
    ],
    [
      "474",
      "-9443"
    ],
    [
      "573/4",
      "3157/8"
    ],
    [
      "1378/9",
      "16397/27"
    ],
    [
      "4909/36",
      "-51533/216"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4040, submitted by NDElkies. This isogenous curve has the same rank and conductor. The five supplied points were transported from the source curve.",
  "created_at": "2026-10-16 18:55:40",
  "updated_at": "2026-10-16 18:55:40"
}