{
  "id": 4390,
  "curve_key": "8703809353295798921173217387529:-25679348306471182102134313570926893786490716133",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-181329361526995810857775362240",
    "29721467947304654246847689122710693363390000"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    6
  ],
  "family": null,
  "families": [],
  "naive_height": 213.7240325715159,
  "faltings_height": 15.482189461374377,
  "conductor": "488442904773890620855613130",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "31",
    "41",
    "67",
    "73",
    "109",
    "271",
    "1621",
    "2857",
    "3691"
  ],
  "discriminant": "-35046756542843482843992776677563900554757066311287791628566336043935891404464575375600",
  "regulator": "38150415333.2359640668087077163116679191271951047531835",
  "points": [
    [
      "2700917992416873",
      "138719316171390906720063"
    ],
    [
      "1404273538287628396/10201",
      "2796715063346872050095633080/1030301"
    ],
    [
      "3001671575728309147656/12187081",
      "1654719606289489189965858873060/42545099771"
    ],
    [
      "44431636549939174792/182329",
      "5395995848841449244270293604/77854483"
    ],
    [
      "150470635277224776/625",
      "2232084066269494220835276/15625"
    ],
    [
      "745657333089902095432/7569",
      "20361271211197886366030008480244/658503"
    ],
    [
      "-175956634589550138047/361201",
      "-339896114698740068804528255577/217081801"
    ],
    [
      "16244616026767215156748/65918161",
      "21519730976391917861229300135336/535189549159"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "2-ISOG#1 dujella/z6old678.html#pre124 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:21",
  "updated_at": "2026-10-17 10:21:21"
}