{
  "id": 5138,
  "curve_key": "1056:0",
  "ainvs": [
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    "0",
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  "rank_lower_bound": 1,
  "torsion": [
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  "family": null,
  "families": [
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  "naive_height": 20.886730392798622,
  "faltings_height": -0.1911987222919579,
  "conductor": "30976",
  "bad_primes": [
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  "discriminant": "681472",
  "regulator": "1.369059811856266155653957617405259075129",
  "points": [
    [
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  "submitter": "hdeping",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-21 05:15:54",
  "updated_at": "2026-10-21 05:15:54"
}