{
  "id": 4989,
  "curve_key": "0:712584",
  "ainvs": [
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    "-825"
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  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
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  "naive_height": 26.953306157825494,
  "faltings_height": 0.30376475561041977,
  "conductor": "97950609",
  "bad_primes": [
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  "discriminant": "-293851827",
  "regulator": "57.97883321413911114139845074323668680619412664",
  "points": [
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      "11",
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    [
      "65/4",
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    [
      "23",
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    [
      "45",
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  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-21 01:19:13",
  "updated_at": "2026-10-21 01:19:13"
}