{
  "id": 711,
  "curve_key": "10678518841145271961:-29773443382840871242034043709",
  "ainvs": [
    "1",
    "0",
    "1",
    "-222469142523859833",
    "34460003896785987245736268"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "naive_height": 131.44429743756345,
  "faltings_height": 8.946825858442004,
  "conductor": "5341166580058921769318328430443927865470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "61",
    "67",
    "73",
    "1039",
    "8677847",
    "82422216381668818301"
  ],
  "discriminant": "191679246420502364675854512058747300962839185791450000",
  "regulator": "3315432195913.7948308614304494212161559685540057595197161604326757957",
  "points": [
    [
      "132614434",
      "2699863304915"
    ],
    [
      "116211839",
      "3189913503630"
    ],
    [
      "533295374",
      "-8215469228685"
    ],
    [
      "80588867",
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    ],
    [
      "126198464",
      "2897277606780"
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    [
      "121194014",
      "3045948574830"
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    [
      "646875239",
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    [
      "408741314",
      "-3437625734445"
    ],
    [
      "127109714",
      "2869729319130"
    ],
    [
      "496302839",
      "-6804329216970"
    ],
    [
      "111837611/4",
      "-42529541606925/8"
    ],
    [
      "1049929514",
      "30955491715155"
    ],
    [
      "354156659",
      "-303263512410"
    ],
    [
      "111469619",
      "3323574270870"
    ],
    [
      "6251315309/16",
      "-171527614743135/64"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found by a search of rational specializations of Mestre families, using finite-field scores to select fibers and rational-point searches to construct the witness. Point independence checked with the site verifier.",
  "created_at": "2026-09-10 16:08:45",
  "updated_at": "2026-09-10 16:08:45"
}