{
  "id": 4646,
  "curve_key": "1777046185127291178474588926141960401:-2368245485836469293571658540607663271781640357173000601",
  "ainvs": [
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  "rank_lower_bound": 12,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 250.40404766137607,
  "faltings_height": 18.595878626981683,
  "conductor": "14426065733357462829266905296921348827243427570",
  "bad_primes": [
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    "3",
    "5",
    "7",
    "11",
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    "17",
    "41",
    "43",
    "59",
    "67",
    "71",
    "127",
    "311",
    "1445912685072265605685525099"
  ],
  "discriminant": "1814400193348915817390232690321209551151531147704148883504571047788112251382723783493389234388416000000",
  "regulator": "453674179650623.46770145759787456675512135389310376743441116106",
  "points": [
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    ],
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      "1249789436392172738196424134/7298797489",
      "-23516587658620526826503359654418799430491/623558165877737"
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      "1290288458559974361150/11449",
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      "4467891045869605935750/32761",
      "89647364505370782884185694418825/5929741"
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      "5952516970394843637342119670/52041928129",
      "20144649475930895227098161897297632284675/11872168938284383"
    ],
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      "98966207091419751998616371159880/870018322421329",
      "32635690266105932523984678756934188456462126075/25662123949477056941017"
    ],
    [
      "387348867571704782472586650/1790220721",
      "-5280602866615333911387290525644429641225/75746028926231"
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    [
      "32417745000492398147088150/196925089",
      "-91971105004081674617108586271458593475/2763449773937"
    ],
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      "152510898314455906752246211050/324955862401",
      "55183092228422109654354809515951183613173125/185240764405827649"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "t = 2189/3931 for y^2 + (7t^2+309) x y - 91 (t^2-1)(t^2-25)(t^2-121) y = x^3 from https://github.com/Layr-Labs/elliptic-rank-challenge-public/blob/main/submission/board/3-r12-z3k3.ec",
  "created_at": "2026-10-20 01:26:33",
  "updated_at": "2026-10-20 01:26:33"
}