{
  "id": 3942,
  "curve_key": "183214929312328632010321:-78422600598439495847411049830929369",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3816977694006846500215",
    "90766898840468372052595551947817"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    6
  ],
  "naive_height": 160.6948406810227,
  "faltings_height": 10.909843103352877,
  "conductor": "269191330439443485710",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "17",
    "43",
    "53",
    "79",
    "139",
    "569",
    "1222003"
  ],
  "discriminant": "804032660962895826686425363331595871803686807388014670656000",
  "regulator": "7262631.020003616547058926548279448721377903727091232",
  "points": [
    [
      "39844232134",
      "-1391988186708427"
    ],
    [
      "47907848422",
      "4226083048063205"
    ],
    [
      "248104239921286/2209",
      "-3410215633220781489461/103823"
    ],
    [
      "2996095283356/9",
      "-5102411822408695739/27"
    ],
    [
      "596122713949/16",
      "-33492270645308013/64"
    ],
    [
      "108163665732934/3025",
      "4698726892425522467/166375"
    ],
    [
      "172151562965662/4489",
      "266946047114178170823/300763"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3716 (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 04:30:56",
  "updated_at": "2026-10-05 04:30:56"
}