{
  "id": 705,
  "curve_key": "14705656687669484857:-45623191272298152514074858221",
  "ainvs": [
    "1",
    "1",
    "0",
    "-306367847659780934",
    "52804619400469591847863104"
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  "rank_lower_bound": 16,
  "torsion": [],
  "naive_height": 132.4042917070279,
  "faltings_height": 9.040022910039475,
  "conductor": "185314350192848860902390821502956494336501428486",
  "bad_primes": [
    "2",
    "3",
    "23",
    "47",
    "1627",
    "146944121",
    "18100330733",
    "6602460748812427948591"
  ],
  "discriminant": "635830955060582569549027733313865009979004032269743684",
  "regulator": "321501727065476.6552983339897969047194131403802696085271721787099551569",
  "points": [
    [
      "152201045",
      "3114546530147"
    ],
    [
      "1309264000",
      "-43543647265848"
    ],
    [
      "1490353120",
      "53911310869472"
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    [
      "1151367735",
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    [
      "193249720",
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      "144912736",
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    [
      "-430410989",
      "10243921291523"
    ],
    [
      "-5218144466/9",
      "160948666443532/27"
    ],
    [
      "-624901933",
      "478600371242"
    ],
    [
      "-6148466479/25",
      "-1330377631562684/125"
    ],
    [
      "140250625",
      "-3549027783277"
    ],
    [
      "-563930035/16",
      "-510231671590237/64"
    ],
    [
      "4989302456",
      "-350321838012772"
    ],
    [
      "747485279/4",
      "-11535649655597/8"
    ],
    [
      "619150921",
      "-10023625756284"
    ],
    [
      "4608639278",
      "-310689152696386"
    ]
  ],
  "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 16:08:37",
  "updated_at": "2026-09-10 16:08:37"
}