{
  "id": 3958,
  "curve_key": "3659907402007912123922574225:142479174877714062755368062584113566750375",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-76248070875164835915053630",
    "-164906452404742584689883133078189716628"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2,
    2
  ],
  "naive_height": 190.40170607380387,
  "faltings_height": 13.903245147675664,
  "conductor": "242574104114218087554953925",
  "bad_primes": [
    "3",
    "5",
    "7",
    "31",
    "43",
    "47",
    "59",
    "73",
    "101",
    "137",
    "311",
    "353",
    "401",
    "937"
  ],
  "discriminant": "16622603937108405453705169063137391301409930370198192474891381756860442953515625",
  "regulator": "12029497804.730893430799764683536493466901274386733957294",
  "points": [
    [
      "-1371789776237209833/253009",
      "1201379887950118035061338080/127263527"
    ],
    [
      "-14780098109253/4",
      "-65180648679707193895/8"
    ],
    [
      "2140821808830591/169",
      "-65981481909338839230440/2197"
    ],
    [
      "12200685791450991/1225",
      "342071149460384185854956/42875"
    ],
    [
      "133039993758342331/9025",
      "37513990523187045383111586/857375"
    ],
    [
      "-816523303500713/289",
      "-25981762271459539500540/4913"
    ],
    [
      "11490965587565239/676",
      "-1032456107866041158693145/17576"
    ],
    [
      "14531779649122154439/1437601",
      "-16994752624900014572853862480/1723683599"
    ],
    [
      "-442203199213836555489/71944324",
      "-5161497794186231213340001924985/610231756168"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3694 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 9: 9 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 04:34:25",
  "updated_at": "2026-10-05 04:34:25"
}