{
  "id": 4306,
  "curve_key": "18639931862382588255056441650557825:-2353539370445629062252853526679508912764971750729025",
  "ainvs": [
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    "-1",
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    "2724003900978737437653410772455041736711758308147"
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  "rank_lower_bound": 23,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 236.73184266780808,
  "faltings_height": 17.687223868059395,
  "conductor": "25549334250540335834393568462217271122128979965910719772132760809472714123481384650",
  "bad_primes": [
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    "5",
    "7",
    "13",
    "29",
    "61",
    "151",
    "2039",
    "3833",
    "29191",
    "46488403859",
    "9396288357523",
    "30134180253834802216372839712071391999"
  ],
  "discriminant": "542385389385572594401846576551326567143173339867318226037130486353343353060822973517772661268480000",
  "regulator": "202819411050871353458710.138648194377587403742073804948125601345746454414877466928712",
  "points": [
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    ],
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      "1182181864172778037251213646263141165930/1270273973994901"
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      "8178999572148930192038319/202236841",
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      "4866830541030402827741443/351150121",
      "-424669445512439410917204598546401770/6580202117419"
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      "989412238427064362205669250"
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      "799732296943672794503/11881",
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    [
      "1471231064532024891/169",
      "122945842825146391946137130/2197"
    ],
    [
      "139365753889974301/9",
      "17576691914235768947938730/27"
    ],
    [
      "80413794863672002811439/24453025",
      "147231796472015489442796866193613822/120920208625"
    ],
    [
      "542600826188268549",
      "-399427331947303199168929060"
    ],
    [
      "3290171877577979",
      "1217350411991429027688770"
    ]
  ],
  "submitter": "C. R. Hill",
  "history": [],
  "commentary": "Found with Rank Hunter v0.9.2; family=x1152_3926_padic_minimized_rr_half_lattice; parameter=2645/5314; local status: rigorous rank lower bound >= 23.",
  "created_at": "2026-10-17 00:18:38",
  "updated_at": "2026-10-17 00:18:38"
}