{
  "id": 5854,
  "curve_key": "48187265931008073636612645988321:-311776826687486279518227975771758630630620652881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1003901373562668200762763458090",
    "360852808666071999117279026920889092258856100"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 218.85794275101077,
  "faltings_height": 16.192701533294578,
  "conductor": "111484378256343012150371356488942839597381871322167760114291890",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "23",
    "29",
    "53",
    "89",
    "887",
    "733642630031",
    "12692782403864393193481756414258080127"
  ],
  "discriminant": "8499218108283341998944102426046592550444766396886413421185272308435118982665428017920000000",
  "regulator": "230803469023397877.804075942782564509961842690081955820700439884945741337304848",
  "points": [
    [
      "205335996618940",
      "12781755444195124358950"
    ],
    [
      "902076754179580",
      "13759174035494522819110"
    ],
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      "362952800675080",
      "6655635380387617098310"
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      "334354545403780",
      "-7910266046267777202890"
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      "764704278667780",
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      "1271798977241980",
      "-33781535768215804637090"
    ],
    [
      "15747303030696820/49",
      "2898649125729053990075530/343"
    ],
    [
      "735972445430530",
      "4544506081597593963610"
    ],
    [
      "376251350868580",
      "6033043234999358052310"
    ],
    [
      "2932708955852995/4",
      "34810352424182188856255/8"
    ],
    [
      "1378027346487550",
      "39928275021751098814810"
    ],
    [
      "447316484077780",
      "1138262634221447087110"
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    [
      "-1111920011369420",
      "-10117835893176060840890"
    ],
    [
      "140337114281980",
      "14924210360068604870110"
    ],
    [
      "1173733151206660",
      "28276020825060422288710"
    ],
    [
      "1881303661949080",
      "-71629003825764439085690"
    ],
    [
      "376145409284260",
      "-6038128012868613501290"
    ],
    [
      "7147702008052276/25",
      "-1232378316759230031252466/125"
    ],
    [
      "97943036032196080/361",
      "71430793114443162549886990/6859"
    ],
    [
      "-700898734120970",
      "-26835855784139533606640"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 61/37 of the rank-17 fibration of X1152 given in curve#848. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-25 12:27:29",
  "updated_at": "2026-10-25 12:27:29"
}