{
  "id": 710,
  "curve_key": "35033250331162089:-6790700916765847163819637",
  "ainvs": [
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    "-1",
    "0",
    "-729859381899210",
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  "rank_lower_bound": 15,
  "torsion": [],
  "naive_height": 114.35519279180129,
  "faltings_height": 7.450538907580232,
  "conductor": "742147693474684155569122124774755137519270",
  "bad_primes": [
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    "10499",
    "785416276126492634821434977696029397"
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  "discriminant": "-1803418895143482498032966763202654984171826100",
  "regulator": "3294293008378.0187946469376956023484604342324432197990093408918971854",
  "points": [
    [
      "15528998",
      "16437207266"
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      "24830798",
      "71026341536"
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    [
      "18765083",
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    [
      "-9790492",
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      "-16511692",
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    [
      "-4663852",
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    [
      "3748982",
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    [
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    [
      "42340973",
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    [
      "-31094167",
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    [
      "24228452",
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    [
      "-1772833",
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    [
      "-11957215",
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  ],
  "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 16:08:44",
  "updated_at": "2026-09-10 16:08:44"
}