{
  "id": 3948,
  "curve_key": "22812897697136064:-585137113344516008512512",
  "ainvs": [
    "0",
    "0",
    "0",
    "-475268702023668",
    "677242029333930565408"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 112.99830737820166,
  "faltings_height": 7.48299048103348,
  "conductor": "1012399021707226560",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "29",
    "61",
    "101",
    "163",
    "443",
    "2477"
  ],
  "discriminant": "6672507034577820482606956910530096040040960000",
  "regulator": "104294734.2351155906640754701953518685314345650542443",
  "points": [
    [
      "-58846431/16",
      "3119291237425/64"
    ],
    [
      "-2732395767/196",
      "-185976229713989/2744"
    ],
    [
      "81199712889/196",
      "-23106367307073875/2744"
    ],
    [
      "12089401957649/37636",
      "-41938139900829454425/7301384"
    ],
    [
      "-80626151094504498/4303753609",
      "15479909450853153298323232/282339148011227"
    ],
    [
      "-209148324978/17689",
      "-160320106702790672/2352637"
    ],
    [
      "-1674481475471/129600",
      "-3185280952034189833/46656000"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3662 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 7: 7 independent points certified by the unchanged ICARM verifier, with a matching unconditional upper bound computed using PARI/GP 2.17.2 ellrank. This is an additional representative of a known isogeny class, not a claim of a new world rank record.",
  "created_at": "2026-10-05 04:32:27",
  "updated_at": "2026-10-05 04:32:27"
}