{
  "id": 4645,
  "curve_key": "20255933265062310786175740811835757351052155493966678657:-90835084295679841237218241599670703318790748104831254410348375237159868435126904769",
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  "rank_lower_bound": 15,
  "torsion": [
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  "family": null,
  "families": [],
  "naive_height": 382.0441283191755,
  "faltings_height": 29.65971099471601,
  "conductor": "2066118591514886972068227354856277642466926416765374242203646246578",
  "bad_primes": [
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    "29",
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  "discriminant": "34753618831154587683475807314832683743831573461204385226998114851574443691424060983243005393065318230806135597106228113105370583096363685752938310654259619692544",
  "regulator": "7928098966897021.7328744385089189444439876394908978471246568321090129",
  "points": [
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  "submitter": "wgxli",
  "history": [],
  "commentary": "specialization at T = -5652311/1171368 of the rank-5 fibration of X163 given by:\ny^2 + (9T^2 - 6T + 244)xy + (13T - 90)(22T - 15)(5T + 6)(4T + 15)y = x^3.",
  "created_at": "2026-10-20 01:08:10",
  "updated_at": "2026-10-20 01:08:10"
}