{
  "id": 4020,
  "curve_key": "7692306567955123619533413254661982863361:-4512217319725106669779385348312742411227306311267630015472641",
  "ainvs": [
    "1",
    "0",
    "0",
    "-160256386832398408740279442805457976320",
    "5222473749681836423342415380162974219673618277066709538400"
  ],
  "rank_lower_bound": 17,
  "torsion": [
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  "naive_height": 279.3237885150226,
  "faltings_height": 21.334496230116393,
  "conductor": "120600636120040262281305547153244997893031818350820655996701181065730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "37",
    "61",
    "127",
    "173",
    "313",
    "337",
    "491",
    "541",
    "1721",
    "2161",
    "2423",
    "3469",
    "3907",
    "4547",
    "8221",
    "13477",
    "203713",
    "1365868604929"
  ],
  "discriminant": "-11519062039569966025131968526535847841171149512205661966141121039937344909427885169699139628879923280398476614970300000",
  "regulator": "9356738396160567941259099197.61023494219477993934445511574161376253482881",
  "points": [
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      "-6732158923609081120793355789644744431742464086043508449168888333180955083383763791379240891234216218874152271102801115334598193020365983554032384794719526887211137271809117689775504867171043410417388671911501407105966072135641/61767337822659837256469397872771466472877132827641439837864817996545398466107640428441718249426041418848450447699119038434831373694212426812614622646815168487609592632872227816578247062720868352000"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3693 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 17: 17 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 04:47:16",
  "updated_at": "2026-10-05 04:47:16"
}