{
  "id": 230,
  "curve_key": "32718074950730355306057:-5967512463503514977658274315256901",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-681626561473549068876",
    "6906843129225400827472871428396"
  ],
  "rank_lower_bound": 17,
  "naive_height": 155.54327647319164,
  "faltings_height": 10.81885291959688,
  "conductor": "5780619339498795734844787336993702205165528840080081279506",
  "bad_primes": [
    "2",
    "3",
    "11",
    "191453",
    "42921536569",
    "7087432437710059",
    "501282810266440502658469"
  ],
  "discriminant": "-339935100878566181983282564139251651876964088969749259722629836",
  "regulator": "84981055456264679.3117933149443931503433513638479714063571863841096814388",
  "points": [
    [
      "16043886086",
      "317326611497870"
    ],
    [
      "17280696650",
      "536895191338436"
    ],
    [
      "14167766489",
      "-305867682555505"
    ],
    [
      "16535679509",
      "396241732694276"
    ],
    [
      "16013767470",
      "313067686622764"
    ],
    [
      "18926463036",
      "-886423879429906"
    ],
    [
      "-11684436811",
      "-3643623591778009"
    ],
    [
      "10290536150",
      "991084187061164"
    ],
    [
      "13790371721",
      "-359915883876241"
    ],
    [
      "12747069311",
      "-537914403677005"
    ],
    [
      "39502758506",
      "-6451647565937326"
    ],
    [
      "-10653514054",
      "3599924151318020"
    ],
    [
      "13815574626",
      "-356041517678630"
    ],
    [
      "-31989738925/4",
      "-27535079488466087/8"
    ],
    [
      "-30174525310",
      "25235897491514"
    ],
    [
      "2983714754780/121",
      "3003650211440656834/1331"
    ],
    [
      "25076172373375/729",
      "-96749554581867301262/19683"
    ]
  ],
  "submitter": "Alexey Pozdnyakov",
  "commentary": "Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, and conductor analysis. Candidate came from family mestre_u6_vm2 with specialization T=1002/1.",
  "created_at": "2026-06-25 23:18:47",
  "updated_at": "2026-07-01 22:34:40"
}