{
  "id": 3946,
  "curve_key": "175738721265217201:-73668861042959841264765449",
  "ainvs": [
    "1",
    "1",
    "1",
    "-3661223359692025",
    "85264883940878971962542"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 119.12332424599293,
  "faltings_height": 7.594464863802235,
  "conductor": "526770622069324545",
  "bad_primes": [
    "3",
    "5",
    "11",
    "31",
    "109",
    "421",
    "653",
    "1709",
    "2011"
  ],
  "discriminant": "249322501944915053582849740376622474123140625",
  "regulator": "12345919715.61070903784274750639396105535045886905622",
  "points": [
    [
      "4476594942027993/107474689",
      "-79044829707297277736347/1114190100863"
    ],
    [
      "32424882163/324",
      "-4952916958420583/5832"
    ],
    [
      "21695346772221/32041",
      "100660857936214218311/5735339"
    ],
    [
      "60468702682935494401/195904497321",
      "461772382735805559754167777889/86709485463745131"
    ],
    [
      "600370659525949531153/15602792301369",
      "2269591283437659482379961235543/61631606893722700653"
    ],
    [
      "14225466041073201073/404339559129",
      "-454151420009908016719302377/257110225840271133"
    ],
    [
      "299349638877653189175647433/7165834818257843809",
      "1385545734390723598099094731629829495463/19182278380425018222935897873"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3661 (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 04:31:52",
  "updated_at": "2026-10-05 04:31:52"
}