{
  "id": 3107,
  "curve_key": "0:-4054516074021062919245673835643349600",
  "ainvs": [
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    "0",
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    "0",
    "4692726937524378378756566939402025"
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  "rank_lower_bound": 10,
  "torsion": [
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  "naive_height": 168.58578937533872,
  "faltings_height": 12.10647169040319,
  "conductor": "506814509252632864905709229455418700",
  "bad_primes": [
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    "3",
    "5",
    "7",
    "23",
    "31",
    "37",
    "43",
    "83",
    "109",
    "151",
    "421"
  ],
  "discriminant": "-9513368399592114216026817528774039320639147456334884463176696011470000",
  "regulator": "649906989.0556765515763338446278463824745495937534048129731",
  "points": [
    [
      "-135797482140",
      "46781315964225555"
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    [
      "-150436201545",
      "35891470127810220"
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    [
      "-42200591214",
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    [
      "2327642247924",
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    [
      "5504535148140",
      "12914782107290941395"
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    [
      "140506152430",
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    [
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    [
      "-102758626586",
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Elkies - Rogers (2004). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 46). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:37:36",
  "updated_at": "2026-09-26 20:37:36"
}