{
  "id": 5169,
  "curve_key": "6336:0",
  "ainvs": [
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  "rank_lower_bound": 2,
  "torsion": [
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  "family": null,
  "families": [
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  "naive_height": 26.262008800482786,
  "faltings_height": 0.25674114501505585,
  "conductor": "69696",
  "bad_primes": [
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  "discriminant": "147197952",
  "regulator": "21.2881525435052343892135427670201619261528",
  "points": [
    [
      "49/4",
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    ],
    [
      "289/16",
      "3791/64"
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  "submitter": "hdeping",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-21 06:44:57",
  "updated_at": "2026-10-21 06:44:57"
}