{
  "id": 3980,
  "curve_key": "43504314260324369877073:-8955927670823581148250866028154585",
  "ainvs": [
    "1",
    "0",
    "0",
    "-906339880423424372439",
    "10365657026340653561180994760809"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 156.38144119335,
  "faltings_height": 10.908524251025876,
  "conductor": "2355694911715481929719037783146",
  "bad_primes": [
    "2",
    "3",
    "11",
    "31",
    "37",
    "41",
    "127",
    "271",
    "293",
    "397",
    "577",
    "823",
    "1483",
    "24473"
  ],
  "discriminant": "1231902755398768614905909874098026645590549247494009314159038464",
  "regulator": "54923419071719.6065831789499234670895188599567083927447542468",
  "points": [
    [
      "7553256825606",
      "-20758597694177986443"
    ],
    [
      "92268793743/4",
      "10531053018043977/8"
    ],
    [
      "29732181945846/841",
      "115713154662307060233/24389"
    ],
    [
      "220295726476998/3481",
      "2951067868374747480159/205379"
    ],
    [
      "1454018634140379414/7491169",
      "-1733335966159122922328013339/20503329553"
    ],
    [
      "95455170308346486/4036081",
      "-11914469584303961592804867/8108486729"
    ],
    [
      "9176861012838/361",
      "-13287778652049106521/6859"
    ],
    [
      "6606821557806/25",
      "-16876266399246081111/125"
    ],
    [
      "536018921754/25",
      "-111067886055970743/125"
    ],
    [
      "540698846581482/25921",
      "-3056001765083622926691/4173281"
    ],
    [
      "8591599036544136/429025",
      "-139520557589277359296749/281011375"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3627 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 11: 11 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 04:38:43",
  "updated_at": "2026-10-05 04:38:43"
}