{
  "id": 698,
  "curve_key": "18750469221320330395336401:-78592790608579126232599359248995640985",
  "ainvs": [
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    "1",
    "-390634775444173549902842",
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  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 174.57978302729242,
  "faltings_height": 12.466374261755472,
  "conductor": "163775308591612518303223046086861799473733719535986646946",
  "bad_primes": [
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    "7",
    "19",
    "37",
    "107",
    "23202396769",
    "107662818007",
    "6917356945540909971138072997"
  ],
  "discriminant": "240431153704810409566340109843202606670306387398611482973714926134382592",
  "regulator": "39270749109476736.075744471935453083905570045793521210786979747794823755755",
  "points": [
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      "412363327297",
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      "17301431761",
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    [
      "421988384753",
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    [
      "506479875025",
      "151783762035119015"
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    [
      "520038035473",
      "168694118791479047"
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    [
      "-160525074173",
      "386696467811424845"
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    [
      "-558070421519",
      "367639628577126791"
    ],
    [
      "71287575133",
      "-251949930965747521"
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    [
      "643303180273",
      "325408986344986247"
    ],
    [
      "7532813713",
      "296684553402688007"
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  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found by a search of rational specializations of Mestre families, using finite-field scores to select fibers and rational-point searches to construct the witness. Point independence checked with the site verifier.",
  "created_at": "2026-09-10 16:08:24",
  "updated_at": "2026-09-10 16:08:24"
}