{
  "id": 3975,
  "curve_key": "-2520327375422567:-9313116967972788827908285",
  "ainvs": [
    "1",
    "0",
    "1",
    "52506820321303",
    "10779070569158888762780"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 114.98693212992525,
  "faltings_height": 7.639974537646132,
  "conductor": "2485766715136584389804778",
  "bad_primes": [
    "2",
    "3",
    "11",
    "23",
    "71",
    "73",
    "227",
    "277",
    "317",
    "383",
    "467",
    "3853"
  ],
  "discriminant": "-50202637097712729945905710319823807028905421296",
  "regulator": "1000672039810.884987248718042594325489366937393217201135918",
  "points": [
    [
      "-158878540404/10201",
      "81024275441379344/1030301"
    ],
    [
      "8350092",
      "108622292656"
    ],
    [
      "-171783911997/9409",
      "55783338932291998/912673"
    ],
    [
      "-29593413744309/1792921",
      "176691167568066682426/2400721219"
    ],
    [
      "-2386376877393/1990921",
      "290782142420580932386/2809189531"
    ],
    [
      "-34724937645396/11526025",
      "4027598374058541065552/39130854875"
    ],
    [
      "1749567969/64",
      "92498955002933/512"
    ],
    [
      "126986215527/1681",
      "46016511969168626/68921"
    ],
    [
      "712457633619/47089",
      "1252949062533057742/10218313"
    ],
    [
      "655368848383002489/191545600",
      "530549624415289695413093707/2650991104000"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3617 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 10: 10 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 04:37:47",
  "updated_at": "2026-10-05 04:37:47"
}