{
  "id": 3973,
  "curve_key": "3841227374981071321:-7528438282241793047110659485",
  "ainvs": [
    "1",
    "1",
    "0",
    "-80025570312105652",
    "8713470200732161730037760"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 128.37697085497004,
  "faltings_height": 8.238297018377555,
  "conductor": "368839630407777086661212802",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "29",
    "97",
    "139",
    "227",
    "263",
    "463",
    "10789",
    "15667"
  ],
  "discriminant": "19402884443970393221032889838904832297311056912",
  "regulator": "1892680037447.055229634074397422971081011137485213539727624",
  "points": [
    [
      "224361320016/1369",
      "-628922788352888/50653"
    ],
    [
      "733846941524/4489",
      "-908748355498348/300763"
    ],
    [
      "1941331211604/11881",
      "-167860098800084/1295029"
    ],
    [
      "913245876",
      "26405867915260"
    ],
    [
      "9912463562841/4489",
      "30963705073712911927/300763"
    ],
    [
      "2457535503369/6889",
      "-2891053498396657817/571787"
    ],
    [
      "2306013743156/6889",
      "-2520712978673655152/571787"
    ],
    [
      "2000036523984/3025",
      "-2603329483950411208/166375"
    ],
    [
      "47343257396/289",
      "52555551299152/4913"
    ],
    [
      "4142546358319256391156/25238335345729",
      "2260360349415442805401668807056/126791768628160398433"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3621 (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 04:37:26",
  "updated_at": "2026-10-05 04:37:26"
}