{
  "id": 5568,
  "curve_key": "467757202311058602973559376:-9621584940994936527493840468662015090624",
  "ainvs": [
    "0",
    "0",
    "0",
    "-9744941714813720895282487",
    "11136093681707102462377130172062517466"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 184.22997478401481,
  "faltings_height": 13.290913390935994,
  "conductor": "404620717008459394169120759517306168913862046883774222840479160",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "23",
    "79",
    "8863",
    "976837185197",
    "7066247935256487713449518673895650842787"
  ],
  "discriminant": "5653288433244208645329096063920227952913329394684724687828397797989940000000",
  "regulator": "6637889266789083319.80875533012643427520331470818523101089800418364635718738790",
  "points": [
    [
      "1453173693677",
      "-209015919969288250"
    ],
    [
      "-423282140823",
      "-3896808303648464750"
    ],
    [
      "573478357677",
      "-2395033318764544250"
    ],
    [
      "2128098118527",
      "-188774261543611900"
    ],
    [
      "-1725755377823",
      "-4776377289426720250"
    ],
    [
      "-6082892123",
      "3345948428446953550"
    ],
    [
      "-4921787127767/9",
      "-109013539540493608930/27"
    ],
    [
      "2170994653377",
      "-460703736466286950"
    ],
    [
      "1466179364927",
      "8972968031345500"
    ],
    [
      "-3002483466615",
      "3650754845395980686"
    ],
    [
      "7637016135077",
      "19548280323464918350"
    ],
    [
      "9205959672927",
      "26488239161748071500"
    ],
    [
      "2272571292177",
      "-852581827551522250"
    ],
    [
      "1124946213902",
      "1263796783745089100"
    ],
    [
      "318470616067837/81",
      "4225715965148316798250/729"
    ],
    [
      "1447340303777",
      "252441080231854150"
    ],
    [
      "-1663157123534807/2209",
      "-441049541933215026143150/103823"
    ],
    [
      "2416929353297",
      "1304555718857215370"
    ],
    [
      "2135503589587",
      "253838714134509140"
    ],
    [
      "3197816612722",
      "-3560130513535629670"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -8/7 of the rank-17 fibration of X1152 given in curve#3897. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-23 11:25:55",
  "updated_at": "2026-10-23 11:25:55"
}