{
  "id": 5173,
  "curve_key": "7488:0",
  "ainvs": [
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    "0",
    "-156",
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  "rank_lower_bound": 2,
  "torsion": [
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  "family": null,
  "families": [
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  "naive_height": 26.763171054472284,
  "faltings_height": 0.2985046661808474,
  "conductor": "48672",
  "bad_primes": [
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  "discriminant": "242970624",
  "regulator": "11.6713726599745853693726841260924123714639",
  "points": [
    [
      "16",
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    [
      "256/9",
      "3680/27"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-21 06:45:25",
  "updated_at": "2026-10-21 06:45:25"
}